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Finding the Third Proportional to 991,705 and 2,035,682

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Solution

The third proportional to 991,705 and 2,035,682 is: 4,178,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,705 : 2,035,682 = 2,035,682 : x
  2. Step 2: Convert to fraction form
    991,705/2,035,682 = 2,035,682/x
  3. Step 3: Cross multiply
    991,705x = 2,035,682 × 2,035,682
  4. Step 4: Simplify right side
    991,705x = 4,144,001,205,124
  5. Step 5: Solve for x
    x = 4,144,001,205,124/991,705
  6. Step 6: Final answer
    x = 4,178,663.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.