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Finding the Third Proportional to 767,682 and 1,784,637

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Solution

The third proportional to 767,682 and 1,784,637 is: 4,148,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,682 : 1,784,637 = 1,784,637 : x
  2. Step 2: Convert to fraction form
    767,682/1,784,637 = 1,784,637/x
  3. Step 3: Cross multiply
    767,682x = 1,784,637 × 1,784,637
  4. Step 4: Simplify right side
    767,682x = 3,184,929,221,769
  5. Step 5: Solve for x
    x = 3,184,929,221,769/767,682
  6. Step 6: Final answer
    x = 4,148,761.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.