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Finding the Third Proportional to 656,837 and 1,411,902

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Solution

The third proportional to 656,837 and 1,411,902 is: 3,034,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,837 : 1,411,902 = 1,411,902 : x
  2. Step 2: Convert to fraction form
    656,837/1,411,902 = 1,411,902/x
  3. Step 3: Cross multiply
    656,837x = 1,411,902 × 1,411,902
  4. Step 4: Simplify right side
    656,837x = 1,993,467,257,604
  5. Step 5: Solve for x
    x = 1,993,467,257,604/656,837
  6. Step 6: Final answer
    x = 3,034,949.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.