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Finding the Third Proportional to 985,249 and 1,484,920

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Solution

The third proportional to 985,249 and 1,484,920 is: 2,238,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,249 : 1,484,920 = 1,484,920 : x
  2. Step 2: Convert to fraction form
    985,249/1,484,920 = 1,484,920/x
  3. Step 3: Cross multiply
    985,249x = 1,484,920 × 1,484,920
  4. Step 4: Simplify right side
    985,249x = 2,204,987,406,400
  5. Step 5: Solve for x
    x = 2,204,987,406,400/985,249
  6. Step 6: Final answer
    x = 2,238,000.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.