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Finding the Third Proportional to 771,615 and 1,692,636

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Solution

The third proportional to 771,615 and 1,692,636 is: 3,713,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,615 : 1,692,636 = 1,692,636 : x
  2. Step 2: Convert to fraction form
    771,615/1,692,636 = 1,692,636/x
  3. Step 3: Cross multiply
    771,615x = 1,692,636 × 1,692,636
  4. Step 4: Simplify right side
    771,615x = 2,865,016,628,496
  5. Step 5: Solve for x
    x = 2,865,016,628,496/771,615
  6. Step 6: Final answer
    x = 3,713,013.13

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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.