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Finding the Third Proportional to 947,567 and 1,488,999

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Solution

The third proportional to 947,567 and 1,488,999 is: 2,339,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,567 : 1,488,999 = 1,488,999 : x
  2. Step 2: Convert to fraction form
    947,567/1,488,999 = 1,488,999/x
  3. Step 3: Cross multiply
    947,567x = 1,488,999 × 1,488,999
  4. Step 4: Simplify right side
    947,567x = 2,217,118,022,001
  5. Step 5: Solve for x
    x = 2,217,118,022,001/947,567
  6. Step 6: Final answer
    x = 2,339,800.80

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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.