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Finding the Third Proportional to 899,896 and 1,265,643

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Solution

The third proportional to 899,896 and 1,265,643 is: 1,780,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,896 : 1,265,643 = 1,265,643 : x
  2. Step 2: Convert to fraction form
    899,896/1,265,643 = 1,265,643/x
  3. Step 3: Cross multiply
    899,896x = 1,265,643 × 1,265,643
  4. Step 4: Simplify right side
    899,896x = 1,601,852,203,449
  5. Step 5: Solve for x
    x = 1,601,852,203,449/899,896
  6. Step 6: Final answer
    x = 1,780,041.48

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Why These Related Problems?

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