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Finding the Third Proportional to 437,882 and 943,290

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Solution

The third proportional to 437,882 and 943,290 is: 2,032,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,882 : 943,290 = 943,290 : x
  2. Step 2: Convert to fraction form
    437,882/943,290 = 943,290/x
  3. Step 3: Cross multiply
    437,882x = 943,290 × 943,290
  4. Step 4: Simplify right side
    437,882x = 889,796,024,100
  5. Step 5: Solve for x
    x = 889,796,024,100/437,882
  6. Step 6: Final answer
    x = 2,032,045.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.