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Finding the Third Proportional to 431,572 and 957,464

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Solution

The third proportional to 431,572 and 957,464 is: 2,124,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,572 : 957,464 = 957,464 : x
  2. Step 2: Convert to fraction form
    431,572/957,464 = 957,464/x
  3. Step 3: Cross multiply
    431,572x = 957,464 × 957,464
  4. Step 4: Simplify right side
    431,572x = 916,737,311,296
  5. Step 5: Solve for x
    x = 916,737,311,296/431,572
  6. Step 6: Final answer
    x = 2,124,181.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.