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Finding the Third Proportional to 684,301 and 1,000,450

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Solution

The third proportional to 684,301 and 1,000,450 is: 1,462,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,301 : 1,000,450 = 1,000,450 : x
  2. Step 2: Convert to fraction form
    684,301/1,000,450 = 1,000,450/x
  3. Step 3: Cross multiply
    684,301x = 1,000,450 × 1,000,450
  4. Step 4: Simplify right side
    684,301x = 1,000,900,202,500
  5. Step 5: Solve for x
    x = 1,000,900,202,500/684,301
  6. Step 6: Final answer
    x = 1,462,660.73

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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.