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Finding the Third Proportional to 697,472 and 1,510,496

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Solution

The third proportional to 697,472 and 1,510,496 is: 3,271,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,472 : 1,510,496 = 1,510,496 : x
  2. Step 2: Convert to fraction form
    697,472/1,510,496 = 1,510,496/x
  3. Step 3: Cross multiply
    697,472x = 1,510,496 × 1,510,496
  4. Step 4: Simplify right side
    697,472x = 2,281,598,166,016
  5. Step 5: Solve for x
    x = 2,281,598,166,016/697,472
  6. Step 6: Final answer
    x = 3,271,239.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.