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Finding the Third Proportional to 771,486 and 1,692,420

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Solution

The third proportional to 771,486 and 1,692,420 is: 3,712,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,486 : 1,692,420 = 1,692,420 : x
  2. Step 2: Convert to fraction form
    771,486/1,692,420 = 1,692,420/x
  3. Step 3: Cross multiply
    771,486x = 1,692,420 × 1,692,420
  4. Step 4: Simplify right side
    771,486x = 2,864,285,456,400
  5. Step 5: Solve for x
    x = 2,864,285,456,400/771,486
  6. Step 6: Final answer
    x = 3,712,686.24

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