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Finding the Third Proportional to 2,347,560.75 and 4,947,309

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Solution

The third proportional to 2,347,560.75 and 4,947,309 is: 10,426,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,560.75 : 4,947,309 = 4,947,309 : x
  2. Step 2: Convert to fraction form
    2,347,560.75/4,947,309 = 4,947,309/x
  3. Step 3: Cross multiply
    2,347,560.75x = 4,947,309 × 4,947,309
  4. Step 4: Simplify right side
    2,347,560.75x = 24,475,866,341,481
  5. Step 5: Solve for x
    x = 24,475,866,341,481/2,347,560.75
  6. Step 6: Final answer
    x = 10,426,084.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.