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Finding the Third Proportional to 948,242 and 2,238,413

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Solution

The third proportional to 948,242 and 2,238,413 is: 5,283,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,242 : 2,238,413 = 2,238,413 : x
  2. Step 2: Convert to fraction form
    948,242/2,238,413 = 2,238,413/x
  3. Step 3: Cross multiply
    948,242x = 2,238,413 × 2,238,413
  4. Step 4: Simplify right side
    948,242x = 5,010,492,758,569
  5. Step 5: Solve for x
    x = 5,010,492,758,569/948,242
  6. Step 6: Final answer
    x = 5,283,981.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.