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Finding the Third Proportional to 803,454 and 1,142,229

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Solution

The third proportional to 803,454 and 1,142,229 is: 1,623,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,454 : 1,142,229 = 1,142,229 : x
  2. Step 2: Convert to fraction form
    803,454/1,142,229 = 1,142,229/x
  3. Step 3: Cross multiply
    803,454x = 1,142,229 × 1,142,229
  4. Step 4: Simplify right side
    803,454x = 1,304,687,088,441
  5. Step 5: Solve for x
    x = 1,304,687,088,441/803,454
  6. Step 6: Final answer
    x = 1,623,847.90

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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.