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Finding the Third Proportional to 887,924 and 1,256,412

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Solution

The third proportional to 887,924 and 1,256,412 is: 1,777,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,924 : 1,256,412 = 1,256,412 : x
  2. Step 2: Convert to fraction form
    887,924/1,256,412 = 1,256,412/x
  3. Step 3: Cross multiply
    887,924x = 1,256,412 × 1,256,412
  4. Step 4: Simplify right side
    887,924x = 1,578,571,113,744
  5. Step 5: Solve for x
    x = 1,578,571,113,744/887,924
  6. Step 6: Final answer
    x = 1,777,822.33

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.