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Finding the Third Proportional to 783,705.38 and 1,716,886.13

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Solution

The third proportional to 783,705.38 and 1,716,886.13 is: 3,761,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,705.38 : 1,716,886.13 = 1,716,886.13 : x
  2. Step 2: Convert to fraction form
    783,705.38/1,716,886.13 = 1,716,886.13/x
  3. Step 3: Cross multiply
    783,705.38x = 1,716,886.13 × 1,716,886.13
  4. Step 4: Simplify right side
    783,705.38x = 2,947,697,966,217.52
  5. Step 5: Solve for x
    x = 2,947,697,966,217.52/783,705.38
  6. Step 6: Final answer
    x = 3,761,232.30

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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.