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Finding the Third Proportional to 947,691 and 1,455,921

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Solution

The third proportional to 947,691 and 1,455,921 is: 2,236,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,691 : 1,455,921 = 1,455,921 : x
  2. Step 2: Convert to fraction form
    947,691/1,455,921 = 1,455,921/x
  3. Step 3: Cross multiply
    947,691x = 1,455,921 × 1,455,921
  4. Step 4: Simplify right side
    947,691x = 2,119,705,958,241
  5. Step 5: Solve for x
    x = 2,119,705,958,241/947,691
  6. Step 6: Final answer
    x = 2,236,705.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.