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Finding the Third Proportional to 788,575.50 and 1,710,001.13

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Solution

The third proportional to 788,575.50 and 1,710,001.13 is: 3,708,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,575.50 : 1,710,001.13 = 1,710,001.13 : x
  2. Step 2: Convert to fraction form
    788,575.50/1,710,001.13 = 1,710,001.13/x
  3. Step 3: Cross multiply
    788,575.50x = 1,710,001.13 × 1,710,001.13
  4. Step 4: Simplify right side
    788,575.50x = 2,924,103,847,501.27
  5. Step 5: Solve for x
    x = 2,924,103,847,501.27/788,575.50
  6. Step 6: Final answer
    x = 3,708,083.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.