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Finding the Third Proportional to 697,592 and 1,490,344

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Solution

The third proportional to 697,592 and 1,490,344 is: 3,183,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,592 : 1,490,344 = 1,490,344 : x
  2. Step 2: Convert to fraction form
    697,592/1,490,344 = 1,490,344/x
  3. Step 3: Cross multiply
    697,592x = 1,490,344 × 1,490,344
  4. Step 4: Simplify right side
    697,592x = 2,221,125,238,336
  5. Step 5: Solve for x
    x = 2,221,125,238,336/697,592
  6. Step 6: Final answer
    x = 3,183,988.98

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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.