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Finding the Third Proportional to 913,212 and 1,454,382

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Solution

The third proportional to 913,212 and 1,454,382 is: 2,316,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,212 : 1,454,382 = 1,454,382 : x
  2. Step 2: Convert to fraction form
    913,212/1,454,382 = 1,454,382/x
  3. Step 3: Cross multiply
    913,212x = 1,454,382 × 1,454,382
  4. Step 4: Simplify right side
    913,212x = 2,115,227,001,924
  5. Step 5: Solve for x
    x = 2,115,227,001,924/913,212
  6. Step 6: Final answer
    x = 2,316,249.68

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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.