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Finding the Third Proportional to 653,186 and 1,399,684

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Solution

The third proportional to 653,186 and 1,399,684 is: 2,999,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,186 : 1,399,684 = 1,399,684 : x
  2. Step 2: Convert to fraction form
    653,186/1,399,684 = 1,399,684/x
  3. Step 3: Cross multiply
    653,186x = 1,399,684 × 1,399,684
  4. Step 4: Simplify right side
    653,186x = 1,959,115,299,856
  5. Step 5: Solve for x
    x = 1,959,115,299,856/653,186
  6. Step 6: Final answer
    x = 2,999,322.24

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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.