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Finding the Third Proportional to 913,219 and 1,454,393

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Solution

The third proportional to 913,219 and 1,454,393 is: 2,316,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,219 : 1,454,393 = 1,454,393 : x
  2. Step 2: Convert to fraction form
    913,219/1,454,393 = 1,454,393/x
  3. Step 3: Cross multiply
    913,219x = 1,454,393 × 1,454,393
  4. Step 4: Simplify right side
    913,219x = 2,115,258,998,449
  5. Step 5: Solve for x
    x = 2,115,258,998,449/913,219
  6. Step 6: Final answer
    x = 2,316,266.96

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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.