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Finding the Third Proportional to 684,981 and 1,486,683

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Solution

The third proportional to 684,981 and 1,486,683 is: 3,226,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,981 : 1,486,683 = 1,486,683 : x
  2. Step 2: Convert to fraction form
    684,981/1,486,683 = 1,486,683/x
  3. Step 3: Cross multiply
    684,981x = 1,486,683 × 1,486,683
  4. Step 4: Simplify right side
    684,981x = 2,210,226,342,489
  5. Step 5: Solve for x
    x = 2,210,226,342,489/684,981
  6. Step 6: Final answer
    x = 3,226,697.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.