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Finding the Third Proportional to 563,047 and 1,172,688

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Solution

The third proportional to 563,047 and 1,172,688 is: 2,442,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,047 : 1,172,688 = 1,172,688 : x
  2. Step 2: Convert to fraction form
    563,047/1,172,688 = 1,172,688/x
  3. Step 3: Cross multiply
    563,047x = 1,172,688 × 1,172,688
  4. Step 4: Simplify right side
    563,047x = 1,375,197,145,344
  5. Step 5: Solve for x
    x = 1,375,197,145,344/563,047
  6. Step 6: Final answer
    x = 2,442,419.81

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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.