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Finding the Third Proportional to 857,700 and 1,833,438

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Solution

The third proportional to 857,700 and 1,833,438 is: 3,919,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,700 : 1,833,438 = 1,833,438 : x
  2. Step 2: Convert to fraction form
    857,700/1,833,438 = 1,833,438/x
  3. Step 3: Cross multiply
    857,700x = 1,833,438 × 1,833,438
  4. Step 4: Simplify right side
    857,700x = 3,361,494,899,844
  5. Step 5: Solve for x
    x = 3,361,494,899,844/857,700
  6. Step 6: Final answer
    x = 3,919,196.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.