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Finding the Third Proportional to 936,832 and 1,415,453

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Solution

The third proportional to 936,832 and 1,415,453 is: 2,138,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,832 : 1,415,453 = 1,415,453 : x
  2. Step 2: Convert to fraction form
    936,832/1,415,453 = 1,415,453/x
  3. Step 3: Cross multiply
    936,832x = 1,415,453 × 1,415,453
  4. Step 4: Simplify right side
    936,832x = 2,003,507,195,209
  5. Step 5: Solve for x
    x = 2,003,507,195,209/936,832
  6. Step 6: Final answer
    x = 2,138,598.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.