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Finding the Third Proportional to 563,427 and 1,328,704

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Solution

The third proportional to 563,427 and 1,328,704 is: 3,133,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,427 : 1,328,704 = 1,328,704 : x
  2. Step 2: Convert to fraction form
    563,427/1,328,704 = 1,328,704/x
  3. Step 3: Cross multiply
    563,427x = 1,328,704 × 1,328,704
  4. Step 4: Simplify right side
    563,427x = 1,765,454,319,616
  5. Step 5: Solve for x
    x = 1,765,454,319,616/563,427
  6. Step 6: Final answer
    x = 3,133,421.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.