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Finding the Third Proportional to 684,015 and 1,484,853

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Solution

The third proportional to 684,015 and 1,484,853 is: 3,223,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,015 : 1,484,853 = 1,484,853 : x
  2. Step 2: Convert to fraction form
    684,015/1,484,853 = 1,484,853/x
  3. Step 3: Cross multiply
    684,015x = 1,484,853 × 1,484,853
  4. Step 4: Simplify right side
    684,015x = 2,204,788,431,609
  5. Step 5: Solve for x
    x = 2,204,788,431,609/684,015
  6. Step 6: Final answer
    x = 3,223,304.21

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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.