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Finding the Third Proportional to 1,538,084 and 2,330,070

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Solution

The third proportional to 1,538,084 and 2,330,070 is: 3,529,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,084 : 2,330,070 = 2,330,070 : x
  2. Step 2: Convert to fraction form
    1,538,084/2,330,070 = 2,330,070/x
  3. Step 3: Cross multiply
    1,538,084x = 2,330,070 × 2,330,070
  4. Step 4: Simplify right side
    1,538,084x = 5,429,226,204,900
  5. Step 5: Solve for x
    x = 5,429,226,204,900/1,538,084
  6. Step 6: Final answer
    x = 3,529,863.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.