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Finding the Third Proportional to 448,918 and 985,076

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Solution

The third proportional to 448,918 and 985,076 is: 2,161,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,918 : 985,076 = 985,076 : x
  2. Step 2: Convert to fraction form
    448,918/985,076 = 985,076/x
  3. Step 3: Cross multiply
    448,918x = 985,076 × 985,076
  4. Step 4: Simplify right side
    448,918x = 970,374,725,776
  5. Step 5: Solve for x
    x = 970,374,725,776/448,918
  6. Step 6: Final answer
    x = 2,161,585.69

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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.