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Finding the Third Proportional to 976,824 and 2,111,704

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Solution

The third proportional to 976,824 and 2,111,704 is: 4,565,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,824 : 2,111,704 = 2,111,704 : x
  2. Step 2: Convert to fraction form
    976,824/2,111,704 = 2,111,704/x
  3. Step 3: Cross multiply
    976,824x = 2,111,704 × 2,111,704
  4. Step 4: Simplify right side
    976,824x = 4,459,293,783,616
  5. Step 5: Solve for x
    x = 4,459,293,783,616/976,824
  6. Step 6: Final answer
    x = 4,565,094.41

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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.