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Finding the Third Proportional to 771,984 and 1,701,030

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Solution

The third proportional to 771,984 and 1,701,030 is: 3,748,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,984 : 1,701,030 = 1,701,030 : x
  2. Step 2: Convert to fraction form
    771,984/1,701,030 = 1,701,030/x
  3. Step 3: Cross multiply
    771,984x = 1,701,030 × 1,701,030
  4. Step 4: Simplify right side
    771,984x = 2,893,503,060,900
  5. Step 5: Solve for x
    x = 2,893,503,060,900/771,984
  6. Step 6: Final answer
    x = 3,748,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.