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Finding the Third Proportional to 437,897 and 943,321

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Solution

The third proportional to 437,897 and 943,321 is: 2,032,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,897 : 943,321 = 943,321 : x
  2. Step 2: Convert to fraction form
    437,897/943,321 = 943,321/x
  3. Step 3: Cross multiply
    437,897x = 943,321 × 943,321
  4. Step 4: Simplify right side
    437,897x = 889,854,509,041
  5. Step 5: Solve for x
    x = 889,854,509,041/437,897
  6. Step 6: Final answer
    x = 2,032,109.17

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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.