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Finding the Third Proportional to 913,215.75 and 1,454,387.50

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Solution

The third proportional to 913,215.75 and 1,454,387.50 is: 2,316,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,215.75 : 1,454,387.50 = 1,454,387.50 : x
  2. Step 2: Convert to fraction form
    913,215.75/1,454,387.50 = 1,454,387.50/x
  3. Step 3: Cross multiply
    913,215.75x = 1,454,387.50 × 1,454,387.50
  4. Step 4: Simplify right side
    913,215.75x = 2,115,243,000,156.25
  5. Step 5: Solve for x
    x = 2,115,243,000,156.25/913,215.75
  6. Step 6: Final answer
    x = 2,316,257.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.