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Finding the Third Proportional to 1,386,839 and 2,983,630

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Solution

The third proportional to 1,386,839 and 2,983,630 is: 6,418,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,839 : 2,983,630 = 2,983,630 : x
  2. Step 2: Convert to fraction form
    1,386,839/2,983,630 = 2,983,630/x
  3. Step 3: Cross multiply
    1,386,839x = 2,983,630 × 2,983,630
  4. Step 4: Simplify right side
    1,386,839x = 8,902,047,976,900
  5. Step 5: Solve for x
    x = 8,902,047,976,900/1,386,839
  6. Step 6: Final answer
    x = 6,418,948.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.