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Finding the Third Proportional to 2,068,853 and 3,210,902

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Solution

The third proportional to 2,068,853 and 3,210,902 is: 4,983,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,853 : 3,210,902 = 3,210,902 : x
  2. Step 2: Convert to fraction form
    2,068,853/3,210,902 = 3,210,902/x
  3. Step 3: Cross multiply
    2,068,853x = 3,210,902 × 3,210,902
  4. Step 4: Simplify right side
    2,068,853x = 10,309,891,653,604
  5. Step 5: Solve for x
    x = 10,309,891,653,604/2,068,853
  6. Step 6: Final answer
    x = 4,983,385.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.