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Finding the Third Proportional to 532,670 and 1,144,394

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Solution

The third proportional to 532,670 and 1,144,394 is: 2,458,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,670 : 1,144,394 = 1,144,394 : x
  2. Step 2: Convert to fraction form
    532,670/1,144,394 = 1,144,394/x
  3. Step 3: Cross multiply
    532,670x = 1,144,394 × 1,144,394
  4. Step 4: Simplify right side
    532,670x = 1,309,637,627,236
  5. Step 5: Solve for x
    x = 1,309,637,627,236/532,670
  6. Step 6: Final answer
    x = 2,458,628.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.