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Finding the Third Proportional to 653,195 and 1,399,702

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Solution

The third proportional to 653,195 and 1,399,702 is: 2,999,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,195 : 1,399,702 = 1,399,702 : x
  2. Step 2: Convert to fraction form
    653,195/1,399,702 = 1,399,702/x
  3. Step 3: Cross multiply
    653,195x = 1,399,702 × 1,399,702
  4. Step 4: Simplify right side
    653,195x = 1,959,165,688,804
  5. Step 5: Solve for x
    x = 1,959,165,688,804/653,195
  6. Step 6: Final answer
    x = 2,999,358.06

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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.