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Finding the Third Proportional to 2,588,982 and 3,883,473

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Solution

The third proportional to 2,588,982 and 3,883,473 is: 5,825,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,982 : 3,883,473 = 3,883,473 : x
  2. Step 2: Convert to fraction form
    2,588,982/3,883,473 = 3,883,473/x
  3. Step 3: Cross multiply
    2,588,982x = 3,883,473 × 3,883,473
  4. Step 4: Simplify right side
    2,588,982x = 15,081,362,541,729
  5. Step 5: Solve for x
    x = 15,081,362,541,729/2,588,982
  6. Step 6: Final answer
    x = 5,825,209.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.