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Finding the Third Proportional to 563,889 and 1,183,134

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Solution

The third proportional to 563,889 and 1,183,134 is: 2,482,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,889 : 1,183,134 = 1,183,134 : x
  2. Step 2: Convert to fraction form
    563,889/1,183,134 = 1,183,134/x
  3. Step 3: Cross multiply
    563,889x = 1,183,134 × 1,183,134
  4. Step 4: Simplify right side
    563,889x = 1,399,806,061,956
  5. Step 5: Solve for x
    x = 1,399,806,061,956/563,889
  6. Step 6: Final answer
    x = 2,482,414.20

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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.