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Finding the Third Proportional to 976,818 and 2,111,692

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Solution

The third proportional to 976,818 and 2,111,692 is: 4,565,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,818 : 2,111,692 = 2,111,692 : x
  2. Step 2: Convert to fraction form
    976,818/2,111,692 = 2,111,692/x
  3. Step 3: Cross multiply
    976,818x = 2,111,692 × 2,111,692
  4. Step 4: Simplify right side
    976,818x = 4,459,243,102,864
  5. Step 5: Solve for x
    x = 4,459,243,102,864/976,818
  6. Step 6: Final answer
    x = 4,565,070.57

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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.