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Finding the Third Proportional to 976,731 and 2,111,370

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Solution

The third proportional to 976,731 and 2,111,370 is: 4,564,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,731 : 2,111,370 = 2,111,370 : x
  2. Step 2: Convert to fraction form
    976,731/2,111,370 = 2,111,370/x
  3. Step 3: Cross multiply
    976,731x = 2,111,370 × 2,111,370
  4. Step 4: Simplify right side
    976,731x = 4,457,883,276,900
  5. Step 5: Solve for x
    x = 4,457,883,276,900/976,731
  6. Step 6: Final answer
    x = 4,564,084.97

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Why These Related Problems?

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