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Finding the Third Proportional to 822,124 and 1,793,261

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Solution

The third proportional to 822,124 and 1,793,261 is: 3,911,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,124 : 1,793,261 = 1,793,261 : x
  2. Step 2: Convert to fraction form
    822,124/1,793,261 = 1,793,261/x
  3. Step 3: Cross multiply
    822,124x = 1,793,261 × 1,793,261
  4. Step 4: Simplify right side
    822,124x = 3,215,785,014,121
  5. Step 5: Solve for x
    x = 3,215,785,014,121/822,124
  6. Step 6: Final answer
    x = 3,911,557.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.