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Finding the Third Proportional to 533,065 and 1,258,382

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Solution

The third proportional to 533,065 and 1,258,382 is: 2,970,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,065 : 1,258,382 = 1,258,382 : x
  2. Step 2: Convert to fraction form
    533,065/1,258,382 = 1,258,382/x
  3. Step 3: Cross multiply
    533,065x = 1,258,382 × 1,258,382
  4. Step 4: Simplify right side
    533,065x = 1,583,525,257,924
  5. Step 5: Solve for x
    x = 1,583,525,257,924/533,065
  6. Step 6: Final answer
    x = 2,970,604.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.