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Finding the Third Proportional to 786,960 and 1,688,616

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Solution

The third proportional to 786,960 and 1,688,616 is: 3,623,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,960 : 1,688,616 = 1,688,616 : x
  2. Step 2: Convert to fraction form
    786,960/1,688,616 = 1,688,616/x
  3. Step 3: Cross multiply
    786,960x = 1,688,616 × 1,688,616
  4. Step 4: Simplify right side
    786,960x = 2,851,423,995,456
  5. Step 5: Solve for x
    x = 2,851,423,995,456/786,960
  6. Step 6: Final answer
    x = 3,623,340.44

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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.