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Finding the Third Proportional to 858,624 and 1,864,920

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Solution

The third proportional to 858,624 and 1,864,920 is: 4,050,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,624 : 1,864,920 = 1,864,920 : x
  2. Step 2: Convert to fraction form
    858,624/1,864,920 = 1,864,920/x
  3. Step 3: Cross multiply
    858,624x = 1,864,920 × 1,864,920
  4. Step 4: Simplify right side
    858,624x = 3,477,926,606,400
  5. Step 5: Solve for x
    x = 3,477,926,606,400/858,624
  6. Step 6: Final answer
    x = 4,050,581.64

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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.