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Finding the Third Proportional to 488,008 and 1,057,472

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Solution

The third proportional to 488,008 and 1,057,472 is: 2,291,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,008 : 1,057,472 = 1,057,472 : x
  2. Step 2: Convert to fraction form
    488,008/1,057,472 = 1,057,472/x
  3. Step 3: Cross multiply
    488,008x = 1,057,472 × 1,057,472
  4. Step 4: Simplify right side
    488,008x = 1,118,247,030,784
  5. Step 5: Solve for x
    x = 1,118,247,030,784/488,008
  6. Step 6: Final answer
    x = 2,291,452.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.