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Finding the Third Proportional to 437,412 and 957,118

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Solution

The third proportional to 437,412 and 957,118 is: 2,094,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,412 : 957,118 = 957,118 : x
  2. Step 2: Convert to fraction form
    437,412/957,118 = 957,118/x
  3. Step 3: Cross multiply
    437,412x = 957,118 × 957,118
  4. Step 4: Simplify right side
    437,412x = 916,074,865,924
  5. Step 5: Solve for x
    x = 916,074,865,924/437,412
  6. Step 6: Final answer
    x = 2,094,306.66

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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.