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Finding the Third Proportional to 1,413,781.59 and 3,020,565.94

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Solution

The third proportional to 1,413,781.59 and 3,020,565.94 is: 6,453,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,781.59 : 3,020,565.94 = 3,020,565.94 : x
  2. Step 2: Convert to fraction form
    1,413,781.59/3,020,565.94 = 3,020,565.94/x
  3. Step 3: Cross multiply
    1,413,781.59x = 3,020,565.94 × 3,020,565.94
  4. Step 4: Simplify right side
    1,413,781.59x = 9,123,818,582,785.25
  5. Step 5: Solve for x
    x = 9,123,818,582,785.25/1,413,781.59
  6. Step 6: Final answer
    x = 6,453,485.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.