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Finding the Third Proportional to 591,246 and 1,340,334

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Solution

The third proportional to 591,246 and 1,340,334 is: 3,038,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,246 : 1,340,334 = 1,340,334 : x
  2. Step 2: Convert to fraction form
    591,246/1,340,334 = 1,340,334/x
  3. Step 3: Cross multiply
    591,246x = 1,340,334 × 1,340,334
  4. Step 4: Simplify right side
    591,246x = 1,796,495,231,556
  5. Step 5: Solve for x
    x = 1,796,495,231,556/591,246
  6. Step 6: Final answer
    x = 3,038,490.29

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.