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Finding the Third Proportional to 907,738 and 1,233,410

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Solution

The third proportional to 907,738 and 1,233,410 is: 1,675,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,738 : 1,233,410 = 1,233,410 : x
  2. Step 2: Convert to fraction form
    907,738/1,233,410 = 1,233,410/x
  3. Step 3: Cross multiply
    907,738x = 1,233,410 × 1,233,410
  4. Step 4: Simplify right side
    907,738x = 1,521,300,228,100
  5. Step 5: Solve for x
    x = 1,521,300,228,100/907,738
  6. Step 6: Final answer
    x = 1,675,924.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.