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Finding the Third Proportional to 561,891 and 912,906

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Solution

The third proportional to 561,891 and 912,906 is: 1,483,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,891 : 912,906 = 912,906 : x
  2. Step 2: Convert to fraction form
    561,891/912,906 = 912,906/x
  3. Step 3: Cross multiply
    561,891x = 912,906 × 912,906
  4. Step 4: Simplify right side
    561,891x = 833,397,364,836
  5. Step 5: Solve for x
    x = 833,397,364,836/561,891
  6. Step 6: Final answer
    x = 1,483,201.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.