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Finding the Third Proportional to 1,615,680.09 and 3,500,630.20

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Solution

The third proportional to 1,615,680.09 and 3,500,630.20 is: 7,584,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,680.09 : 3,500,630.20 = 3,500,630.20 : x
  2. Step 2: Convert to fraction form
    1,615,680.09/3,500,630.20 = 3,500,630.20/x
  3. Step 3: Cross multiply
    1,615,680.09x = 3,500,630.20 × 3,500,630.20
  4. Step 4: Simplify right side
    1,615,680.09x = 12,254,411,819,030.98
  5. Step 5: Solve for x
    x = 12,254,411,819,030.98/1,615,680.09
  6. Step 6: Final answer
    x = 7,584,677.11

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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.