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Finding the Third Proportional to 766,433 and 1,612,264

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Solution

The third proportional to 766,433 and 1,612,264 is: 3,391,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,433 : 1,612,264 = 1,612,264 : x
  2. Step 2: Convert to fraction form
    766,433/1,612,264 = 1,612,264/x
  3. Step 3: Cross multiply
    766,433x = 1,612,264 × 1,612,264
  4. Step 4: Simplify right side
    766,433x = 2,599,395,205,696
  5. Step 5: Solve for x
    x = 2,599,395,205,696/766,433
  6. Step 6: Final answer
    x = 3,391,549.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.