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Finding the Third Proportional to 974,375 and 2,125,813

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Solution

The third proportional to 974,375 and 2,125,813 is: 4,637,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375 : 2,125,813 = 2,125,813 : x
  2. Step 2: Convert to fraction form
    974,375/2,125,813 = 2,125,813/x
  3. Step 3: Cross multiply
    974,375x = 2,125,813 × 2,125,813
  4. Step 4: Simplify right side
    974,375x = 4,519,080,910,969
  5. Step 5: Solve for x
    x = 4,519,080,910,969/974,375
  6. Step 6: Final answer
    x = 4,637,927.81

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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.