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Finding the Third Proportional to 858,657 and 1,864,806

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Solution

The third proportional to 858,657 and 1,864,806 is: 4,049,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,657 : 1,864,806 = 1,864,806 : x
  2. Step 2: Convert to fraction form
    858,657/1,864,806 = 1,864,806/x
  3. Step 3: Cross multiply
    858,657x = 1,864,806 × 1,864,806
  4. Step 4: Simplify right side
    858,657x = 3,477,501,417,636
  5. Step 5: Solve for x
    x = 3,477,501,417,636/858,657
  6. Step 6: Final answer
    x = 4,049,930.78

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