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Finding the Third Proportional to 1,346,283 and 2,881,741

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Solution

The third proportional to 1,346,283 and 2,881,741 is: 6,168,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,283 : 2,881,741 = 2,881,741 : x
  2. Step 2: Convert to fraction form
    1,346,283/2,881,741 = 2,881,741/x
  3. Step 3: Cross multiply
    1,346,283x = 2,881,741 × 2,881,741
  4. Step 4: Simplify right side
    1,346,283x = 8,304,431,191,081
  5. Step 5: Solve for x
    x = 8,304,431,191,081/1,346,283
  6. Step 6: Final answer
    x = 6,168,414.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.