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Finding the Third Proportional to 431,574 and 957,468

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Solution

The third proportional to 431,574 and 957,468 is: 2,124,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574 : 957,468 = 957,468 : x
  2. Step 2: Convert to fraction form
    431,574/957,468 = 957,468/x
  3. Step 3: Cross multiply
    431,574x = 957,468 × 957,468
  4. Step 4: Simplify right side
    431,574x = 916,744,971,024
  5. Step 5: Solve for x
    x = 916,744,971,024/431,574
  6. Step 6: Final answer
    x = 2,124,189.53

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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.