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Finding the Third Proportional to 564,024 and 1,155,558

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Solution

The third proportional to 564,024 and 1,155,558 is: 2,367,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,024 : 1,155,558 = 1,155,558 : x
  2. Step 2: Convert to fraction form
    564,024/1,155,558 = 1,155,558/x
  3. Step 3: Cross multiply
    564,024x = 1,155,558 × 1,155,558
  4. Step 4: Simplify right side
    564,024x = 1,335,314,291,364
  5. Step 5: Solve for x
    x = 1,335,314,291,364/564,024
  6. Step 6: Final answer
    x = 2,367,477.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.