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Finding the Third Proportional to 702,380 and 1,538,572

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Solution

The third proportional to 702,380 and 1,538,572 is: 3,370,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,380 : 1,538,572 = 1,538,572 : x
  2. Step 2: Convert to fraction form
    702,380/1,538,572 = 1,538,572/x
  3. Step 3: Cross multiply
    702,380x = 1,538,572 × 1,538,572
  4. Step 4: Simplify right side
    702,380x = 2,367,203,799,184
  5. Step 5: Solve for x
    x = 2,367,203,799,184/702,380
  6. Step 6: Final answer
    x = 3,370,260.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.