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Finding the Third Proportional to 563,291 and 1,252,522

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Solution

The third proportional to 563,291 and 1,252,522 is: 2,785,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,291 : 1,252,522 = 1,252,522 : x
  2. Step 2: Convert to fraction form
    563,291/1,252,522 = 1,252,522/x
  3. Step 3: Cross multiply
    563,291x = 1,252,522 × 1,252,522
  4. Step 4: Simplify right side
    563,291x = 1,568,811,360,484
  5. Step 5: Solve for x
    x = 1,568,811,360,484/563,291
  6. Step 6: Final answer
    x = 2,785,081.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.