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Finding the Third Proportional to 699,582.94 and 1,483,237.69

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Solution

The third proportional to 699,582.94 and 1,483,237.69 is: 3,144,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,582.94 : 1,483,237.69 = 1,483,237.69 : x
  2. Step 2: Convert to fraction form
    699,582.94/1,483,237.69 = 1,483,237.69/x
  3. Step 3: Cross multiply
    699,582.94x = 1,483,237.69 × 1,483,237.69
  4. Step 4: Simplify right side
    699,582.94x = 2,199,994,037,620.35
  5. Step 5: Solve for x
    x = 2,199,994,037,620.35/699,582.94
  6. Step 6: Final answer
    x = 3,144,722.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.