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Finding the Third Proportional to 634,354 and 927,714

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Solution

The third proportional to 634,354 and 927,714 is: 1,356,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,354 : 927,714 = 927,714 : x
  2. Step 2: Convert to fraction form
    634,354/927,714 = 927,714/x
  3. Step 3: Cross multiply
    634,354x = 927,714 × 927,714
  4. Step 4: Simplify right side
    634,354x = 860,653,265,796
  5. Step 5: Solve for x
    x = 860,653,265,796/634,354
  6. Step 6: Final answer
    x = 1,356,739.72

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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.