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Finding the Third Proportional to 636,878 and 929,062

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Solution

The third proportional to 636,878 and 929,062 is: 1,355,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,878 : 929,062 = 929,062 : x
  2. Step 2: Convert to fraction form
    636,878/929,062 = 929,062/x
  3. Step 3: Cross multiply
    636,878x = 929,062 × 929,062
  4. Step 4: Simplify right side
    636,878x = 863,156,199,844
  5. Step 5: Solve for x
    x = 863,156,199,844/636,878
  6. Step 6: Final answer
    x = 1,355,292.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.