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Finding the Third Proportional to 974,365 and 2,125,795

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Solution

The third proportional to 974,365 and 2,125,795 is: 4,637,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,365 : 2,125,795 = 2,125,795 : x
  2. Step 2: Convert to fraction form
    974,365/2,125,795 = 2,125,795/x
  3. Step 3: Cross multiply
    974,365x = 2,125,795 × 2,125,795
  4. Step 4: Simplify right side
    974,365x = 4,519,004,382,025
  5. Step 5: Solve for x
    x = 4,519,004,382,025/974,365
  6. Step 6: Final answer
    x = 4,637,896.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.