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Finding the Third Proportional to 825,264 and 1,113,472

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Solution

The third proportional to 825,264 and 1,113,472 is: 1,502,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,264 : 1,113,472 = 1,113,472 : x
  2. Step 2: Convert to fraction form
    825,264/1,113,472 = 1,113,472/x
  3. Step 3: Cross multiply
    825,264x = 1,113,472 × 1,113,472
  4. Step 4: Simplify right side
    825,264x = 1,239,819,894,784
  5. Step 5: Solve for x
    x = 1,239,819,894,784/825,264
  6. Step 6: Final answer
    x = 1,502,331.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.