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Finding the Third Proportional to 623,672 and 941,145

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Solution

The third proportional to 623,672 and 941,145 is: 1,420,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,672 : 941,145 = 941,145 : x
  2. Step 2: Convert to fraction form
    623,672/941,145 = 941,145/x
  3. Step 3: Cross multiply
    623,672x = 941,145 × 941,145
  4. Step 4: Simplify right side
    623,672x = 885,753,911,025
  5. Step 5: Solve for x
    x = 885,753,911,025/623,672
  6. Step 6: Final answer
    x = 1,420,223.95

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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.