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Finding the Third Proportional to 700,508 and 1,109,407

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Solution

The third proportional to 700,508 and 1,109,407 is: 1,756,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,508 : 1,109,407 = 1,109,407 : x
  2. Step 2: Convert to fraction form
    700,508/1,109,407 = 1,109,407/x
  3. Step 3: Cross multiply
    700,508x = 1,109,407 × 1,109,407
  4. Step 4: Simplify right side
    700,508x = 1,230,783,891,649
  5. Step 5: Solve for x
    x = 1,230,783,891,649/700,508
  6. Step 6: Final answer
    x = 1,756,987.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.