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Finding the Third Proportional to 1,209,766 and 2,641,142

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Solution

The third proportional to 1,209,766 and 2,641,142 is: 5,766,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,766 : 2,641,142 = 2,641,142 : x
  2. Step 2: Convert to fraction form
    1,209,766/2,641,142 = 2,641,142/x
  3. Step 3: Cross multiply
    1,209,766x = 2,641,142 × 2,641,142
  4. Step 4: Simplify right side
    1,209,766x = 6,975,631,064,164
  5. Step 5: Solve for x
    x = 6,975,631,064,164/1,209,766
  6. Step 6: Final answer
    x = 5,766,099.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.