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Finding the Third Proportional to 901,821 and 1,398,294

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Solution

The third proportional to 901,821 and 1,398,294 is: 2,168,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,821 : 1,398,294 = 1,398,294 : x
  2. Step 2: Convert to fraction form
    901,821/1,398,294 = 1,398,294/x
  3. Step 3: Cross multiply
    901,821x = 1,398,294 × 1,398,294
  4. Step 4: Simplify right side
    901,821x = 1,955,226,110,436
  5. Step 5: Solve for x
    x = 1,955,226,110,436/901,821
  6. Step 6: Final answer
    x = 2,168,086.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.