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Finding the Third Proportional to 1,304,920.13 and 1,996,381.69

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Solution

The third proportional to 1,304,920.13 and 1,996,381.69 is: 3,054,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,920.13 : 1,996,381.69 = 1,996,381.69 : x
  2. Step 2: Convert to fraction form
    1,304,920.13/1,996,381.69 = 1,996,381.69/x
  3. Step 3: Cross multiply
    1,304,920.13x = 1,996,381.69 × 1,996,381.69
  4. Step 4: Simplify right side
    1,304,920.13x = 3,985,539,842,185.35
  5. Step 5: Solve for x
    x = 3,985,539,842,185.35/1,304,920.13
  6. Step 6: Final answer
    x = 3,054,240.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.