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Finding the Third Proportional to 1,069,711.69 and 2,378,596.13

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Solution

The third proportional to 1,069,711.69 and 2,378,596.13 is: 5,289,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,711.69 : 2,378,596.13 = 2,378,596.13 : x
  2. Step 2: Convert to fraction form
    1,069,711.69/2,378,596.13 = 2,378,596.13/x
  3. Step 3: Cross multiply
    1,069,711.69x = 2,378,596.13 × 2,378,596.13
  4. Step 4: Simplify right side
    1,069,711.69x = 5,657,719,525,865.02
  5. Step 5: Solve for x
    x = 5,657,719,525,865.02/1,069,711.69
  6. Step 6: Final answer
    x = 5,289,013.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.