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Finding the Third Proportional to 715,354 and 1,002,714

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Solution

The third proportional to 715,354 and 1,002,714 is: 1,405,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,354 : 1,002,714 = 1,002,714 : x
  2. Step 2: Convert to fraction form
    715,354/1,002,714 = 1,002,714/x
  3. Step 3: Cross multiply
    715,354x = 1,002,714 × 1,002,714
  4. Step 4: Simplify right side
    715,354x = 1,005,435,365,796
  5. Step 5: Solve for x
    x = 1,005,435,365,796/715,354
  6. Step 6: Final answer
    x = 1,405,507.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.