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Finding the Third Proportional to 897,432 and 1,332,057

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Solution

The third proportional to 897,432 and 1,332,057 is: 1,977,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,432 : 1,332,057 = 1,332,057 : x
  2. Step 2: Convert to fraction form
    897,432/1,332,057 = 1,332,057/x
  3. Step 3: Cross multiply
    897,432x = 1,332,057 × 1,332,057
  4. Step 4: Simplify right side
    897,432x = 1,774,375,851,249
  5. Step 5: Solve for x
    x = 1,774,375,851,249/897,432
  6. Step 6: Final answer
    x = 1,977,170.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.