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Finding the Third Proportional to 976,633 and 2,111,186

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Solution

The third proportional to 976,633 and 2,111,186 is: 4,563,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,633 : 2,111,186 = 2,111,186 : x
  2. Step 2: Convert to fraction form
    976,633/2,111,186 = 2,111,186/x
  3. Step 3: Cross multiply
    976,633x = 2,111,186 × 2,111,186
  4. Step 4: Simplify right side
    976,633x = 4,457,106,326,596
  5. Step 5: Solve for x
    x = 4,457,106,326,596/976,633
  6. Step 6: Final answer
    x = 4,563,747.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.