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Finding the Third Proportional to 561,326 and 1,230,287

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Solution

The third proportional to 561,326 and 1,230,287 is: 2,696,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,326 : 1,230,287 = 1,230,287 : x
  2. Step 2: Convert to fraction form
    561,326/1,230,287 = 1,230,287/x
  3. Step 3: Cross multiply
    561,326x = 1,230,287 × 1,230,287
  4. Step 4: Simplify right side
    561,326x = 1,513,606,102,369
  5. Step 5: Solve for x
    x = 1,513,606,102,369/561,326
  6. Step 6: Final answer
    x = 2,696,483.15

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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.