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Finding the Third Proportional to 974,121.19 and 2,090,098.69

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Solution

The third proportional to 974,121.19 and 2,090,098.69 is: 4,484,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,121.19 : 2,090,098.69 = 2,090,098.69 : x
  2. Step 2: Convert to fraction form
    974,121.19/2,090,098.69 = 2,090,098.69/x
  3. Step 3: Cross multiply
    974,121.19x = 2,090,098.69 × 2,090,098.69
  4. Step 4: Simplify right side
    974,121.19x = 4,368,512,523,489.22
  5. Step 5: Solve for x
    x = 4,368,512,523,489.22/974,121.19
  6. Step 6: Final answer
    x = 4,484,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.