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Finding the Third Proportional to 913,232 and 1,454,421

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Solution

The third proportional to 913,232 and 1,454,421 is: 2,316,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,232 : 1,454,421 = 1,454,421 : x
  2. Step 2: Convert to fraction form
    913,232/1,454,421 = 1,454,421/x
  3. Step 3: Cross multiply
    913,232x = 1,454,421 × 1,454,421
  4. Step 4: Simplify right side
    913,232x = 2,115,340,445,241
  5. Step 5: Solve for x
    x = 2,115,340,445,241/913,232
  6. Step 6: Final answer
    x = 2,316,323.17

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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.