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Finding the Third Proportional to 800,240 and 1,208,928

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Solution

The third proportional to 800,240 and 1,208,928 is: 1,826,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,240 : 1,208,928 = 1,208,928 : x
  2. Step 2: Convert to fraction form
    800,240/1,208,928 = 1,208,928/x
  3. Step 3: Cross multiply
    800,240x = 1,208,928 × 1,208,928
  4. Step 4: Simplify right side
    800,240x = 1,461,506,909,184
  5. Step 5: Solve for x
    x = 1,461,506,909,184/800,240
  6. Step 6: Final answer
    x = 1,826,335.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.