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Finding the Third Proportional to 976,896 and 2,132,928

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Solution

The third proportional to 976,896 and 2,132,928 is: 4,656,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,896 : 2,132,928 = 2,132,928 : x
  2. Step 2: Convert to fraction form
    976,896/2,132,928 = 2,132,928/x
  3. Step 3: Cross multiply
    976,896x = 2,132,928 × 2,132,928
  4. Step 4: Simplify right side
    976,896x = 4,549,381,853,184
  5. Step 5: Solve for x
    x = 4,549,381,853,184/976,896
  6. Step 6: Final answer
    x = 4,656,976.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.