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Finding the Third Proportional to 676,496 and 1,040,176

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Solution

The third proportional to 676,496 and 1,040,176 is: 1,599,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,496 : 1,040,176 = 1,040,176 : x
  2. Step 2: Convert to fraction form
    676,496/1,040,176 = 1,040,176/x
  3. Step 3: Cross multiply
    676,496x = 1,040,176 × 1,040,176
  4. Step 4: Simplify right side
    676,496x = 1,081,966,110,976
  5. Step 5: Solve for x
    x = 1,081,966,110,976/676,496
  6. Step 6: Final answer
    x = 1,599,368.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.