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Finding the Third Proportional to 677,584 and 990,881

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Solution

The third proportional to 677,584 and 990,881 is: 1,449,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,584 : 990,881 = 990,881 : x
  2. Step 2: Convert to fraction form
    677,584/990,881 = 990,881/x
  3. Step 3: Cross multiply
    677,584x = 990,881 × 990,881
  4. Step 4: Simplify right side
    677,584x = 981,845,156,161
  5. Step 5: Solve for x
    x = 981,845,156,161/677,584
  6. Step 6: Final answer
    x = 1,449,038.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.