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Finding the Third Proportional to 779,211.56 and 1,165,681.13

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Solution

The third proportional to 779,211.56 and 1,165,681.13 is: 1,743,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,211.56 : 1,165,681.13 = 1,165,681.13 : x
  2. Step 2: Convert to fraction form
    779,211.56/1,165,681.13 = 1,165,681.13/x
  3. Step 3: Cross multiply
    779,211.56x = 1,165,681.13 × 1,165,681.13
  4. Step 4: Simplify right side
    779,211.56x = 1,358,812,485,181.27
  5. Step 5: Solve for x
    x = 1,358,812,485,181.27/779,211.56
  6. Step 6: Final answer
    x = 1,743,829.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.