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Finding the Third Proportional to 697,755 and 1,496,468

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Solution

The third proportional to 697,755 and 1,496,468 is: 3,209,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,755 : 1,496,468 = 1,496,468 : x
  2. Step 2: Convert to fraction form
    697,755/1,496,468 = 1,496,468/x
  3. Step 3: Cross multiply
    697,755x = 1,496,468 × 1,496,468
  4. Step 4: Simplify right side
    697,755x = 2,239,416,475,024
  5. Step 5: Solve for x
    x = 2,239,416,475,024/697,755
  6. Step 6: Final answer
    x = 3,209,459.59

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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.