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Finding the Third Proportional to 858,496 and 1,864,735

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Solution

The third proportional to 858,496 and 1,864,735 is: 4,050,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,496 : 1,864,735 = 1,864,735 : x
  2. Step 2: Convert to fraction form
    858,496/1,864,735 = 1,864,735/x
  3. Step 3: Cross multiply
    858,496x = 1,864,735 × 1,864,735
  4. Step 4: Simplify right side
    858,496x = 3,477,236,620,225
  5. Step 5: Solve for x
    x = 3,477,236,620,225/858,496
  6. Step 6: Final answer
    x = 4,050,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.