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Finding the Third Proportional to 586,562 and 1,126,468

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Solution

The third proportional to 586,562 and 1,126,468 is: 2,163,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,562 : 1,126,468 = 1,126,468 : x
  2. Step 2: Convert to fraction form
    586,562/1,126,468 = 1,126,468/x
  3. Step 3: Cross multiply
    586,562x = 1,126,468 × 1,126,468
  4. Step 4: Simplify right side
    586,562x = 1,268,930,155,024
  5. Step 5: Solve for x
    x = 1,268,930,155,024/586,562
  6. Step 6: Final answer
    x = 2,163,335.09

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.