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Finding the Third Proportional to 767,943 and 1,675,637

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Solution

The third proportional to 767,943 and 1,675,637 is: 3,656,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,943 : 1,675,637 = 1,675,637 : x
  2. Step 2: Convert to fraction form
    767,943/1,675,637 = 1,675,637/x
  3. Step 3: Cross multiply
    767,943x = 1,675,637 × 1,675,637
  4. Step 4: Simplify right side
    767,943x = 2,807,759,355,769
  5. Step 5: Solve for x
    x = 2,807,759,355,769/767,943
  6. Step 6: Final answer
    x = 3,656,208.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.