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Finding the Third Proportional to 976,738 and 2,115,864

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Solution

The third proportional to 976,738 and 2,115,864 is: 4,583,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,738 : 2,115,864 = 2,115,864 : x
  2. Step 2: Convert to fraction form
    976,738/2,115,864 = 2,115,864/x
  3. Step 3: Cross multiply
    976,738x = 2,115,864 × 2,115,864
  4. Step 4: Simplify right side
    976,738x = 4,476,880,466,496
  5. Step 5: Solve for x
    x = 4,476,880,466,496/976,738
  6. Step 6: Final answer
    x = 4,583,501.89

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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.