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Finding the Third Proportional to 806,238 and 1,165,454

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Solution

The third proportional to 806,238 and 1,165,454 is: 1,684,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,238 : 1,165,454 = 1,165,454 : x
  2. Step 2: Convert to fraction form
    806,238/1,165,454 = 1,165,454/x
  3. Step 3: Cross multiply
    806,238x = 1,165,454 × 1,165,454
  4. Step 4: Simplify right side
    806,238x = 1,358,283,026,116
  5. Step 5: Solve for x
    x = 1,358,283,026,116/806,238
  6. Step 6: Final answer
    x = 1,684,717.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.