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Finding the Third Proportional to 723,714 and 1,000,035

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Solution

The third proportional to 723,714 and 1,000,035 is: 1,381,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,714 : 1,000,035 = 1,000,035 : x
  2. Step 2: Convert to fraction form
    723,714/1,000,035 = 1,000,035/x
  3. Step 3: Cross multiply
    723,714x = 1,000,035 × 1,000,035
  4. Step 4: Simplify right side
    723,714x = 1,000,070,001,225
  5. Step 5: Solve for x
    x = 1,000,070,001,225/723,714
  6. Step 6: Final answer
    x = 1,381,858.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.