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Finding the Third Proportional to 563,424 and 1,173,624

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Solution

The third proportional to 563,424 and 1,173,624 is: 2,444,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,424 : 1,173,624 = 1,173,624 : x
  2. Step 2: Convert to fraction form
    563,424/1,173,624 = 1,173,624/x
  3. Step 3: Cross multiply
    563,424x = 1,173,624 × 1,173,624
  4. Step 4: Simplify right side
    563,424x = 1,377,393,293,376
  5. Step 5: Solve for x
    x = 1,377,393,293,376/563,424
  6. Step 6: Final answer
    x = 2,444,683.39

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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.