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Finding the Third Proportional to 720,444.38 and 1,130,122.13

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Solution

The third proportional to 720,444.38 and 1,130,122.13 is: 1,772,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,444.38 : 1,130,122.13 = 1,130,122.13 : x
  2. Step 2: Convert to fraction form
    720,444.38/1,130,122.13 = 1,130,122.13/x
  3. Step 3: Cross multiply
    720,444.38x = 1,130,122.13 × 1,130,122.13
  4. Step 4: Simplify right side
    720,444.38x = 1,277,176,017,414.52
  5. Step 5: Solve for x
    x = 1,277,176,017,414.52/720,444.38
  6. Step 6: Final answer
    x = 1,772,761.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.