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Finding the Third Proportional to 948,435 and 1,686,351

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Solution

The third proportional to 948,435 and 1,686,351 is: 2,998,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,435 : 1,686,351 = 1,686,351 : x
  2. Step 2: Convert to fraction form
    948,435/1,686,351 = 1,686,351/x
  3. Step 3: Cross multiply
    948,435x = 1,686,351 × 1,686,351
  4. Step 4: Simplify right side
    948,435x = 2,843,779,695,201
  5. Step 5: Solve for x
    x = 2,843,779,695,201/948,435
  6. Step 6: Final answer
    x = 2,998,391.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.