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Finding the Third Proportional to 697,753 and 1,496,464

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Solution

The third proportional to 697,753 and 1,496,464 is: 3,209,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,753 : 1,496,464 = 1,496,464 : x
  2. Step 2: Convert to fraction form
    697,753/1,496,464 = 1,496,464/x
  3. Step 3: Cross multiply
    697,753x = 1,496,464 × 1,496,464
  4. Step 4: Simplify right side
    697,753x = 2,239,404,503,296
  5. Step 5: Solve for x
    x = 2,239,404,503,296/697,753
  6. Step 6: Final answer
    x = 3,209,451.63

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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.