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Finding the Third Proportional to 771,610 and 1,692,625

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Solution

The third proportional to 771,610 and 1,692,625 is: 3,712,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,610 : 1,692,625 = 1,692,625 : x
  2. Step 2: Convert to fraction form
    771,610/1,692,625 = 1,692,625/x
  3. Step 3: Cross multiply
    771,610x = 1,692,625 × 1,692,625
  4. Step 4: Simplify right side
    771,610x = 2,864,979,390,625
  5. Step 5: Solve for x
    x = 2,864,979,390,625/771,610
  6. Step 6: Final answer
    x = 3,712,988.93

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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.