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Finding the Third Proportional to 702,940 and 1,499,120

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Solution

The third proportional to 702,940 and 1,499,120 is: 3,197,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,940 : 1,499,120 = 1,499,120 : x
  2. Step 2: Convert to fraction form
    702,940/1,499,120 = 1,499,120/x
  3. Step 3: Cross multiply
    702,940x = 1,499,120 × 1,499,120
  4. Step 4: Simplify right side
    702,940x = 2,247,360,774,400
  5. Step 5: Solve for x
    x = 2,247,360,774,400/702,940
  6. Step 6: Final answer
    x = 3,197,087.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.