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Finding the Third Proportional to 749,827 and 1,071,496

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Solution

The third proportional to 749,827 and 1,071,496 is: 1,531,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,827 : 1,071,496 = 1,071,496 : x
  2. Step 2: Convert to fraction form
    749,827/1,071,496 = 1,071,496/x
  3. Step 3: Cross multiply
    749,827x = 1,071,496 × 1,071,496
  4. Step 4: Simplify right side
    749,827x = 1,148,103,678,016
  5. Step 5: Solve for x
    x = 1,148,103,678,016/749,827
  6. Step 6: Final answer
    x = 1,531,158.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.