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Finding the Third Proportional to 433,282 and 935,068

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Solution

The third proportional to 433,282 and 935,068 is: 2,017,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,282 : 935,068 = 935,068 : x
  2. Step 2: Convert to fraction form
    433,282/935,068 = 935,068/x
  3. Step 3: Cross multiply
    433,282x = 935,068 × 935,068
  4. Step 4: Simplify right side
    433,282x = 874,352,164,624
  5. Step 5: Solve for x
    x = 874,352,164,624/433,282
  6. Step 6: Final answer
    x = 2,017,974.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.