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Finding the Third Proportional to 3,031,554 and 6,459,966

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Solution

The third proportional to 3,031,554 and 6,459,966 is: 13,765,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,554 : 6,459,966 = 6,459,966 : x
  2. Step 2: Convert to fraction form
    3,031,554/6,459,966 = 6,459,966/x
  3. Step 3: Cross multiply
    3,031,554x = 6,459,966 × 6,459,966
  4. Step 4: Simplify right side
    3,031,554x = 41,731,160,721,156
  5. Step 5: Solve for x
    x = 41,731,160,721,156/3,031,554
  6. Step 6: Final answer
    x = 13,765,600.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.