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Finding the Third Proportional to 947,062.13 and 1,435,811.06

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Solution

The third proportional to 947,062.13 and 1,435,811.06 is: 2,176,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,062.13 : 1,435,811.06 = 1,435,811.06 : x
  2. Step 2: Convert to fraction form
    947,062.13/1,435,811.06 = 1,435,811.06/x
  3. Step 3: Cross multiply
    947,062.13x = 1,435,811.06 × 1,435,811.06
  4. Step 4: Simplify right side
    947,062.13x = 2,061,553,407,197.38
  5. Step 5: Solve for x
    x = 2,061,553,407,197.38/947,062.13
  6. Step 6: Final answer
    x = 2,176,787.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.