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Finding the Third Proportional to 623,924 and 941,468

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Solution

The third proportional to 623,924 and 941,468 is: 1,420,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,924 : 941,468 = 941,468 : x
  2. Step 2: Convert to fraction form
    623,924/941,468 = 941,468/x
  3. Step 3: Cross multiply
    623,924x = 941,468 × 941,468
  4. Step 4: Simplify right side
    623,924x = 886,361,995,024
  5. Step 5: Solve for x
    x = 886,361,995,024/623,924
  6. Step 6: Final answer
    x = 1,420,624.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.