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Finding the Third Proportional to 423,711 and 908,739

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Solution

The third proportional to 423,711 and 908,739 is: 1,948,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,711 : 908,739 = 908,739 : x
  2. Step 2: Convert to fraction form
    423,711/908,739 = 908,739/x
  3. Step 3: Cross multiply
    423,711x = 908,739 × 908,739
  4. Step 4: Simplify right side
    423,711x = 825,806,570,121
  5. Step 5: Solve for x
    x = 825,806,570,121/423,711
  6. Step 6: Final answer
    x = 1,948,985.44

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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.