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Finding the Third Proportional to 653,184 and 1,399,680

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Solution

The third proportional to 653,184 and 1,399,680 is: 2,999,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,184 : 1,399,680 = 1,399,680 : x
  2. Step 2: Convert to fraction form
    653,184/1,399,680 = 1,399,680/x
  3. Step 3: Cross multiply
    653,184x = 1,399,680 × 1,399,680
  4. Step 4: Simplify right side
    653,184x = 1,959,104,102,400
  5. Step 5: Solve for x
    x = 1,959,104,102,400/653,184
  6. Step 6: Final answer
    x = 2,999,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.