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Finding the Third Proportional to 1,338,720 and 2,039,459

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Solution

The third proportional to 1,338,720 and 2,039,459 is: 3,106,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,720 : 2,039,459 = 2,039,459 : x
  2. Step 2: Convert to fraction form
    1,338,720/2,039,459 = 2,039,459/x
  3. Step 3: Cross multiply
    1,338,720x = 2,039,459 × 2,039,459
  4. Step 4: Simplify right side
    1,338,720x = 4,159,393,012,681
  5. Step 5: Solve for x
    x = 4,159,393,012,681/1,338,720
  6. Step 6: Final answer
    x = 3,106,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.