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Finding the Third Proportional to 771,634 and 1,692,680

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Solution

The third proportional to 771,634 and 1,692,680 is: 3,713,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,634 : 1,692,680 = 1,692,680 : x
  2. Step 2: Convert to fraction form
    771,634/1,692,680 = 1,692,680/x
  3. Step 3: Cross multiply
    771,634x = 1,692,680 × 1,692,680
  4. Step 4: Simplify right side
    771,634x = 2,865,165,582,400
  5. Step 5: Solve for x
    x = 2,865,165,582,400/771,634
  6. Step 6: Final answer
    x = 3,713,114.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.