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Finding the Third Proportional to 702,140 and 1,512,434

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Solution

The third proportional to 702,140 and 1,512,434 is: 3,257,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,140 : 1,512,434 = 1,512,434 : x
  2. Step 2: Convert to fraction form
    702,140/1,512,434 = 1,512,434/x
  3. Step 3: Cross multiply
    702,140x = 1,512,434 × 1,512,434
  4. Step 4: Simplify right side
    702,140x = 2,287,456,604,356
  5. Step 5: Solve for x
    x = 2,287,456,604,356/702,140
  6. Step 6: Final answer
    x = 3,257,835.48

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Why These Related Problems?

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