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Finding the Third Proportional to 733,510.69 and 1,533,907.13

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Solution

The third proportional to 733,510.69 and 1,533,907.13 is: 3,207,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,510.69 : 1,533,907.13 = 1,533,907.13 : x
  2. Step 2: Convert to fraction form
    733,510.69/1,533,907.13 = 1,533,907.13/x
  3. Step 3: Cross multiply
    733,510.69x = 1,533,907.13 × 1,533,907.13
  4. Step 4: Simplify right side
    733,510.69x = 2,352,871,068,125.77
  5. Step 5: Solve for x
    x = 2,352,871,068,125.77/733,510.69
  6. Step 6: Final answer
    x = 3,207,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.