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Finding the Third Proportional to 803,382 and 1,142,136

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Solution

The third proportional to 803,382 and 1,142,136 is: 1,623,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,382 : 1,142,136 = 1,142,136 : x
  2. Step 2: Convert to fraction form
    803,382/1,142,136 = 1,142,136/x
  3. Step 3: Cross multiply
    803,382x = 1,142,136 × 1,142,136
  4. Step 4: Simplify right side
    803,382x = 1,304,474,642,496
  5. Step 5: Solve for x
    x = 1,304,474,642,496/803,382
  6. Step 6: Final answer
    x = 1,623,728.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.