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Finding the Third Proportional to 403,642 and 912,144

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Solution

The third proportional to 403,642 and 912,144 is: 2,061,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642 : 912,144 = 912,144 : x
  2. Step 2: Convert to fraction form
    403,642/912,144 = 912,144/x
  3. Step 3: Cross multiply
    403,642x = 912,144 × 912,144
  4. Step 4: Simplify right side
    403,642x = 832,006,676,736
  5. Step 5: Solve for x
    x = 832,006,676,736/403,642
  6. Step 6: Final answer
    x = 2,061,249.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.