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Finding the Third Proportional to 783,125.50 and 1,658,909

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Solution

The third proportional to 783,125.50 and 1,658,909 is: 3,514,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,125.50 : 1,658,909 = 1,658,909 : x
  2. Step 2: Convert to fraction form
    783,125.50/1,658,909 = 1,658,909/x
  3. Step 3: Cross multiply
    783,125.50x = 1,658,909 × 1,658,909
  4. Step 4: Simplify right side
    783,125.50x = 2,751,979,070,281
  5. Step 5: Solve for x
    x = 2,751,979,070,281/783,125.50
  6. Step 6: Final answer
    x = 3,514,097.13

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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.