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Finding the Third Proportional to 1,050,138 and 1,584,828

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Solution

The third proportional to 1,050,138 and 1,584,828 is: 2,391,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,138 : 1,584,828 = 1,584,828 : x
  2. Step 2: Convert to fraction form
    1,050,138/1,584,828 = 1,584,828/x
  3. Step 3: Cross multiply
    1,050,138x = 1,584,828 × 1,584,828
  4. Step 4: Simplify right side
    1,050,138x = 2,511,679,789,584
  5. Step 5: Solve for x
    x = 2,511,679,789,584/1,050,138
  6. Step 6: Final answer
    x = 2,391,761.64

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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.