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Finding the Third Proportional to 461,574 and 969,798

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Solution

The third proportional to 461,574 and 969,798 is: 2,037,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,574 : 969,798 = 969,798 : x
  2. Step 2: Convert to fraction form
    461,574/969,798 = 969,798/x
  3. Step 3: Cross multiply
    461,574x = 969,798 × 969,798
  4. Step 4: Simplify right side
    461,574x = 940,508,160,804
  5. Step 5: Solve for x
    x = 940,508,160,804/461,574
  6. Step 6: Final answer
    x = 2,037,610.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.