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Finding the Third Proportional to 715,406.50 and 1,513,629

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Solution

The third proportional to 715,406.50 and 1,513,629 is: 3,202,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,406.50 : 1,513,629 = 1,513,629 : x
  2. Step 2: Convert to fraction form
    715,406.50/1,513,629 = 1,513,629/x
  3. Step 3: Cross multiply
    715,406.50x = 1,513,629 × 1,513,629
  4. Step 4: Simplify right side
    715,406.50x = 2,291,072,749,641
  5. Step 5: Solve for x
    x = 2,291,072,749,641/715,406.50
  6. Step 6: Final answer
    x = 3,202,476.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.