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Finding the Third Proportional to 721,467 and 1,142,364

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Solution

The third proportional to 721,467 and 1,142,364 is: 1,808,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,467 : 1,142,364 = 1,142,364 : x
  2. Step 2: Convert to fraction form
    721,467/1,142,364 = 1,142,364/x
  3. Step 3: Cross multiply
    721,467x = 1,142,364 × 1,142,364
  4. Step 4: Simplify right side
    721,467x = 1,304,995,508,496
  5. Step 5: Solve for x
    x = 1,304,995,508,496/721,467
  6. Step 6: Final answer
    x = 1,808,808.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.