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Finding the Third Proportional to 947,565 and 1,488,996

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Solution

The third proportional to 947,565 and 1,488,996 is: 2,339,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,565 : 1,488,996 = 1,488,996 : x
  2. Step 2: Convert to fraction form
    947,565/1,488,996 = 1,488,996/x
  3. Step 3: Cross multiply
    947,565x = 1,488,996 × 1,488,996
  4. Step 4: Simplify right side
    947,565x = 2,217,109,088,016
  5. Step 5: Solve for x
    x = 2,217,109,088,016/947,565
  6. Step 6: Final answer
    x = 2,339,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.