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Finding the Third Proportional to 1,407,962 and 2,881,532

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Solution

The third proportional to 1,407,962 and 2,881,532 is: 5,897,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,962 : 2,881,532 = 2,881,532 : x
  2. Step 2: Convert to fraction form
    1,407,962/2,881,532 = 2,881,532/x
  3. Step 3: Cross multiply
    1,407,962x = 2,881,532 × 2,881,532
  4. Step 4: Simplify right side
    1,407,962x = 8,303,226,667,024
  5. Step 5: Solve for x
    x = 8,303,226,667,024/1,407,962
  6. Step 6: Final answer
    x = 5,897,337.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.