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Finding the Third Proportional to 697,463 and 1,478,637

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Solution

The third proportional to 697,463 and 1,478,637 is: 3,134,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,463 : 1,478,637 = 1,478,637 : x
  2. Step 2: Convert to fraction form
    697,463/1,478,637 = 1,478,637/x
  3. Step 3: Cross multiply
    697,463x = 1,478,637 × 1,478,637
  4. Step 4: Simplify right side
    697,463x = 2,186,367,377,769
  5. Step 5: Solve for x
    x = 2,186,367,377,769/697,463
  6. Step 6: Final answer
    x = 3,134,743.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.