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Finding the Third Proportional to 702,290 and 1,516,680

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Solution

The third proportional to 702,290 and 1,516,680 is: 3,275,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,290 : 1,516,680 = 1,516,680 : x
  2. Step 2: Convert to fraction form
    702,290/1,516,680 = 1,516,680/x
  3. Step 3: Cross multiply
    702,290x = 1,516,680 × 1,516,680
  4. Step 4: Simplify right side
    702,290x = 2,300,318,222,400
  5. Step 5: Solve for x
    x = 2,300,318,222,400/702,290
  6. Step 6: Final answer
    x = 3,275,453.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.