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Finding the Third Proportional to 857,280 and 1,832,664

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Solution

The third proportional to 857,280 and 1,832,664 is: 3,917,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,280 : 1,832,664 = 1,832,664 : x
  2. Step 2: Convert to fraction form
    857,280/1,832,664 = 1,832,664/x
  3. Step 3: Cross multiply
    857,280x = 1,832,664 × 1,832,664
  4. Step 4: Simplify right side
    857,280x = 3,358,657,336,896
  5. Step 5: Solve for x
    x = 3,358,657,336,896/857,280
  6. Step 6: Final answer
    x = 3,917,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.