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Finding the Third Proportional to 563,046 and 1,172,682

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Solution

The third proportional to 563,046 and 1,172,682 is: 2,442,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,046 : 1,172,682 = 1,172,682 : x
  2. Step 2: Convert to fraction form
    563,046/1,172,682 = 1,172,682/x
  3. Step 3: Cross multiply
    563,046x = 1,172,682 × 1,172,682
  4. Step 4: Simplify right side
    563,046x = 1,375,183,073,124
  5. Step 5: Solve for x
    x = 1,375,183,073,124/563,046
  6. Step 6: Final answer
    x = 2,442,399.15

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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.