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Finding the Third Proportional to 1,304,942 and 1,996,416

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Solution

The third proportional to 1,304,942 and 1,996,416 is: 3,054,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,942 : 1,996,416 = 1,996,416 : x
  2. Step 2: Convert to fraction form
    1,304,942/1,996,416 = 1,996,416/x
  3. Step 3: Cross multiply
    1,304,942x = 1,996,416 × 1,996,416
  4. Step 4: Simplify right side
    1,304,942x = 3,985,676,845,056
  5. Step 5: Solve for x
    x = 3,985,676,845,056/1,304,942
  6. Step 6: Final answer
    x = 3,054,294.25

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