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Finding the Third Proportional to 761,485 and 1,142,372

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Solution

The third proportional to 761,485 and 1,142,372 is: 1,713,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,485 : 1,142,372 = 1,142,372 : x
  2. Step 2: Convert to fraction form
    761,485/1,142,372 = 1,142,372/x
  3. Step 3: Cross multiply
    761,485x = 1,142,372 × 1,142,372
  4. Step 4: Simplify right side
    761,485x = 1,305,013,786,384
  5. Step 5: Solve for x
    x = 1,305,013,786,384/761,485
  6. Step 6: Final answer
    x = 1,713,774.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.