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Finding the Third Proportional to 1,472,509.13 and 2,160,285.19

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Solution

The third proportional to 1,472,509.13 and 2,160,285.19 is: 3,169,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,509.13 : 2,160,285.19 = 2,160,285.19 : x
  2. Step 2: Convert to fraction form
    1,472,509.13/2,160,285.19 = 2,160,285.19/x
  3. Step 3: Cross multiply
    1,472,509.13x = 2,160,285.19 × 2,160,285.19
  4. Step 4: Simplify right side
    1,472,509.13x = 4,666,832,091,331.91
  5. Step 5: Solve for x
    x = 4,666,832,091,331.91/1,472,509.13
  6. Step 6: Final answer
    x = 3,169,306.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.