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Finding the Third Proportional to 563,033 and 1,172,661

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Solution

The third proportional to 563,033 and 1,172,661 is: 2,442,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,033 : 1,172,661 = 1,172,661 : x
  2. Step 2: Convert to fraction form
    563,033/1,172,661 = 1,172,661/x
  3. Step 3: Cross multiply
    563,033x = 1,172,661 × 1,172,661
  4. Step 4: Simplify right side
    563,033x = 1,375,133,820,921
  5. Step 5: Solve for x
    x = 1,375,133,820,921/563,033
  6. Step 6: Final answer
    x = 2,442,368.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.