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Finding the Third Proportional to 623,063 and 1,361,443

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Solution

The third proportional to 623,063 and 1,361,443 is: 2,974,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,063 : 1,361,443 = 1,361,443 : x
  2. Step 2: Convert to fraction form
    623,063/1,361,443 = 1,361,443/x
  3. Step 3: Cross multiply
    623,063x = 1,361,443 × 1,361,443
  4. Step 4: Simplify right side
    623,063x = 1,853,527,042,249
  5. Step 5: Solve for x
    x = 1,853,527,042,249/623,063
  6. Step 6: Final answer
    x = 2,974,862.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.