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Finding the Third Proportional to 700,226 and 1,086,307

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Solution

The third proportional to 700,226 and 1,086,307 is: 1,685,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,226 : 1,086,307 = 1,086,307 : x
  2. Step 2: Convert to fraction form
    700,226/1,086,307 = 1,086,307/x
  3. Step 3: Cross multiply
    700,226x = 1,086,307 × 1,086,307
  4. Step 4: Simplify right side
    700,226x = 1,180,062,898,249
  5. Step 5: Solve for x
    x = 1,180,062,898,249/700,226
  6. Step 6: Final answer
    x = 1,685,260.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.