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Finding the Third Proportional to 699,678 and 1,106,163

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Solution

The third proportional to 699,678 and 1,106,163 is: 1,748,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,678 : 1,106,163 = 1,106,163 : x
  2. Step 2: Convert to fraction form
    699,678/1,106,163 = 1,106,163/x
  3. Step 3: Cross multiply
    699,678x = 1,106,163 × 1,106,163
  4. Step 4: Simplify right side
    699,678x = 1,223,596,582,569
  5. Step 5: Solve for x
    x = 1,223,596,582,569/699,678
  6. Step 6: Final answer
    x = 1,748,799.57

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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.