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Finding the Third Proportional to 684,716 and 1,001,717

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Solution

The third proportional to 684,716 and 1,001,717 is: 1,465,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,716 : 1,001,717 = 1,001,717 : x
  2. Step 2: Convert to fraction form
    684,716/1,001,717 = 1,001,717/x
  3. Step 3: Cross multiply
    684,716x = 1,001,717 × 1,001,717
  4. Step 4: Simplify right side
    684,716x = 1,003,436,948,089
  5. Step 5: Solve for x
    x = 1,003,436,948,089/684,716
  6. Step 6: Final answer
    x = 1,465,479.04

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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.