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Finding the Third Proportional to 948,384 and 2,073,810

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Solution

The third proportional to 948,384 and 2,073,810 is: 4,534,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,384 : 2,073,810 = 2,073,810 : x
  2. Step 2: Convert to fraction form
    948,384/2,073,810 = 2,073,810/x
  3. Step 3: Cross multiply
    948,384x = 2,073,810 × 2,073,810
  4. Step 4: Simplify right side
    948,384x = 4,300,687,916,100
  5. Step 5: Solve for x
    x = 4,300,687,916,100/948,384
  6. Step 6: Final answer
    x = 4,534,753.77

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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.