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Finding the Third Proportional to 423,241 and 904,719

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Solution

The third proportional to 423,241 and 904,719 is: 1,933,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,241 : 904,719 = 904,719 : x
  2. Step 2: Convert to fraction form
    423,241/904,719 = 904,719/x
  3. Step 3: Cross multiply
    423,241x = 904,719 × 904,719
  4. Step 4: Simplify right side
    423,241x = 818,516,468,961
  5. Step 5: Solve for x
    x = 818,516,468,961/423,241
  6. Step 6: Final answer
    x = 1,933,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.