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Finding the Third Proportional to 563,760 and 1,186,542

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Solution

The third proportional to 563,760 and 1,186,542 is: 2,497,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,760 : 1,186,542 = 1,186,542 : x
  2. Step 2: Convert to fraction form
    563,760/1,186,542 = 1,186,542/x
  3. Step 3: Cross multiply
    563,760x = 1,186,542 × 1,186,542
  4. Step 4: Simplify right side
    563,760x = 1,407,881,917,764
  5. Step 5: Solve for x
    x = 1,407,881,917,764/563,760
  6. Step 6: Final answer
    x = 2,497,307.22

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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.