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Finding the Third Proportional to 771,606 and 1,692,616.50

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Solution

The third proportional to 771,606 and 1,692,616.50 is: 3,712,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,606 : 1,692,616.50 = 1,692,616.50 : x
  2. Step 2: Convert to fraction form
    771,606/1,692,616.50 = 1,692,616.50/x
  3. Step 3: Cross multiply
    771,606x = 1,692,616.50 × 1,692,616.50
  4. Step 4: Simplify right side
    771,606x = 2,864,950,616,072.25
  5. Step 5: Solve for x
    x = 2,864,950,616,072.25/771,606
  6. Step 6: Final answer
    x = 3,712,970.89

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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.