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Finding the Third Proportional to 840,900 and 1,838,292

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Solution

The third proportional to 840,900 and 1,838,292 is: 4,018,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,900 : 1,838,292 = 1,838,292 : x
  2. Step 2: Convert to fraction form
    840,900/1,838,292 = 1,838,292/x
  3. Step 3: Cross multiply
    840,900x = 1,838,292 × 1,838,292
  4. Step 4: Simplify right side
    840,900x = 3,379,317,477,264
  5. Step 5: Solve for x
    x = 3,379,317,477,264/840,900
  6. Step 6: Final answer
    x = 4,018,691.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.