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Finding the Third Proportional to 633,090 and 906,879

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Solution

The third proportional to 633,090 and 906,879 is: 1,299,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,090 : 906,879 = 906,879 : x
  2. Step 2: Convert to fraction form
    633,090/906,879 = 906,879/x
  3. Step 3: Cross multiply
    633,090x = 906,879 × 906,879
  4. Step 4: Simplify right side
    633,090x = 822,429,520,641
  5. Step 5: Solve for x
    x = 822,429,520,641/633,090
  6. Step 6: Final answer
    x = 1,299,072.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.