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Finding the Third Proportional to 636,840 and 940,680

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Solution

The third proportional to 636,840 and 940,680 is: 1,389,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,840 : 940,680 = 940,680 : x
  2. Step 2: Convert to fraction form
    636,840/940,680 = 940,680/x
  3. Step 3: Cross multiply
    636,840x = 940,680 × 940,680
  4. Step 4: Simplify right side
    636,840x = 884,878,862,400
  5. Step 5: Solve for x
    x = 884,878,862,400/636,840
  6. Step 6: Final answer
    x = 1,389,483.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.