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Finding the Third Proportional to 1,087,842 and 1,529,214

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Solution

The third proportional to 1,087,842 and 1,529,214 is: 2,149,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,842 : 1,529,214 = 1,529,214 : x
  2. Step 2: Convert to fraction form
    1,087,842/1,529,214 = 1,529,214/x
  3. Step 3: Cross multiply
    1,087,842x = 1,529,214 × 1,529,214
  4. Step 4: Simplify right side
    1,087,842x = 2,338,495,457,796
  5. Step 5: Solve for x
    x = 2,338,495,457,796/1,087,842
  6. Step 6: Final answer
    x = 2,149,664.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.