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Finding the Third Proportional to 976,826 and 2,111,708

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Solution

The third proportional to 976,826 and 2,111,708 is: 4,565,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,826 : 2,111,708 = 2,111,708 : x
  2. Step 2: Convert to fraction form
    976,826/2,111,708 = 2,111,708/x
  3. Step 3: Cross multiply
    976,826x = 2,111,708 × 2,111,708
  4. Step 4: Simplify right side
    976,826x = 4,459,310,677,264
  5. Step 5: Solve for x
    x = 4,459,310,677,264/976,826
  6. Step 6: Final answer
    x = 4,565,102.36

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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.