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Finding the Third Proportional to 610,776.56 and 1,316,220.19

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Solution

The third proportional to 610,776.56 and 1,316,220.19 is: 2,836,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,776.56 : 1,316,220.19 = 1,316,220.19 : x
  2. Step 2: Convert to fraction form
    610,776.56/1,316,220.19 = 1,316,220.19/x
  3. Step 3: Cross multiply
    610,776.56x = 1,316,220.19 × 1,316,220.19
  4. Step 4: Simplify right side
    610,776.56x = 1,732,435,581,982.54
  5. Step 5: Solve for x
    x = 1,732,435,581,982.54/610,776.56
  6. Step 6: Final answer
    x = 2,836,447.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.