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Finding the Third Proportional to 538,353 and 1,132,506

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Solution

The third proportional to 538,353 and 1,132,506 is: 2,382,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,353 : 1,132,506 = 1,132,506 : x
  2. Step 2: Convert to fraction form
    538,353/1,132,506 = 1,132,506/x
  3. Step 3: Cross multiply
    538,353x = 1,132,506 × 1,132,506
  4. Step 4: Simplify right side
    538,353x = 1,282,569,840,036
  5. Step 5: Solve for x
    x = 1,282,569,840,036/538,353
  6. Step 6: Final answer
    x = 2,382,395.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.