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Finding the Third Proportional to 797,664 and 1,205,988

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Solution

The third proportional to 797,664 and 1,205,988 is: 1,823,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,664 : 1,205,988 = 1,205,988 : x
  2. Step 2: Convert to fraction form
    797,664/1,205,988 = 1,205,988/x
  3. Step 3: Cross multiply
    797,664x = 1,205,988 × 1,205,988
  4. Step 4: Simplify right side
    797,664x = 1,454,407,056,144
  5. Step 5: Solve for x
    x = 1,454,407,056,144/797,664
  6. Step 6: Final answer
    x = 1,823,332.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.