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Finding the Third Proportional to 438,165 and 957,429

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Solution

The third proportional to 438,165 and 957,429 is: 2,092,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,165 : 957,429 = 957,429 : x
  2. Step 2: Convert to fraction form
    438,165/957,429 = 957,429/x
  3. Step 3: Cross multiply
    438,165x = 957,429 × 957,429
  4. Step 4: Simplify right side
    438,165x = 916,670,290,041
  5. Step 5: Solve for x
    x = 916,670,290,041/438,165
  6. Step 6: Final answer
    x = 2,092,066.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.