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Finding the Third Proportional to 407,158 and 889,746

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Solution

The third proportional to 407,158 and 889,746 is: 1,944,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,158 : 889,746 = 889,746 : x
  2. Step 2: Convert to fraction form
    407,158/889,746 = 889,746/x
  3. Step 3: Cross multiply
    407,158x = 889,746 × 889,746
  4. Step 4: Simplify right side
    407,158x = 791,647,944,516
  5. Step 5: Solve for x
    x = 791,647,944,516/407,158
  6. Step 6: Final answer
    x = 1,944,326.14

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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.