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Finding the Third Proportional to 780,126.75 and 1,165,042.13

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Solution

The third proportional to 780,126.75 and 1,165,042.13 is: 1,739,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,126.75 : 1,165,042.13 = 1,165,042.13 : x
  2. Step 2: Convert to fraction form
    780,126.75/1,165,042.13 = 1,165,042.13/x
  3. Step 3: Cross multiply
    780,126.75x = 1,165,042.13 × 1,165,042.13
  4. Step 4: Simplify right side
    780,126.75x = 1,357,323,153,024.52
  5. Step 5: Solve for x
    x = 1,357,323,153,024.52/780,126.75
  6. Step 6: Final answer
    x = 1,739,875.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.