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Finding the Third Proportional to 679,878 and 1,001,025

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Solution

The third proportional to 679,878 and 1,001,025 is: 1,473,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,878 : 1,001,025 = 1,001,025 : x
  2. Step 2: Convert to fraction form
    679,878/1,001,025 = 1,001,025/x
  3. Step 3: Cross multiply
    679,878x = 1,001,025 × 1,001,025
  4. Step 4: Simplify right side
    679,878x = 1,002,051,050,625
  5. Step 5: Solve for x
    x = 1,002,051,050,625/679,878
  6. Step 6: Final answer
    x = 1,473,868.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.