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Finding the Third Proportional to 602,932,821.75 and 1,306,031,303.25

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Solution

The third proportional to 602,932,821.75 and 1,306,031,303.25 is: 2,829,034,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,932,821.75 : 1,306,031,303.25 = 1,306,031,303.25 : x
  2. Step 2: Convert to fraction form
    602,932,821.75/1,306,031,303.25 = 1,306,031,303.25/x
  3. Step 3: Cross multiply
    602,932,821.75x = 1,306,031,303.25 × 1,306,031,303.25
  4. Step 4: Simplify right side
    602,932,821.75x = 1,705,717,765,068,893,440
  5. Step 5: Solve for x
    x = 1,705,717,765,068,893,440/602,932,821.75
  6. Step 6: Final answer
    x = 2,829,034,518.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.