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Finding the Third Proportional to 869,368 and 1,383,322

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Solution

The third proportional to 869,368 and 1,383,322 is: 2,201,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,368 : 1,383,322 = 1,383,322 : x
  2. Step 2: Convert to fraction form
    869,368/1,383,322 = 1,383,322/x
  3. Step 3: Cross multiply
    869,368x = 1,383,322 × 1,383,322
  4. Step 4: Simplify right side
    869,368x = 1,913,579,755,684
  5. Step 5: Solve for x
    x = 1,913,579,755,684/869,368
  6. Step 6: Final answer
    x = 2,201,115.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.