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Finding the Third Proportional to 778,537 and 1,677,116

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Solution

The third proportional to 778,537 and 1,677,116 is: 3,612,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,537 : 1,677,116 = 1,677,116 : x
  2. Step 2: Convert to fraction form
    778,537/1,677,116 = 1,677,116/x
  3. Step 3: Cross multiply
    778,537x = 1,677,116 × 1,677,116
  4. Step 4: Simplify right side
    778,537x = 2,812,718,077,456
  5. Step 5: Solve for x
    x = 2,812,718,077,456/778,537
  6. Step 6: Final answer
    x = 3,612,825.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.