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Finding the Third Proportional to 2,288,172 and 3,461,781.50

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Solution

The third proportional to 2,288,172 and 3,461,781.50 is: 5,237,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,172 : 3,461,781.50 = 3,461,781.50 : x
  2. Step 2: Convert to fraction form
    2,288,172/3,461,781.50 = 3,461,781.50/x
  3. Step 3: Cross multiply
    2,288,172x = 3,461,781.50 × 3,461,781.50
  4. Step 4: Simplify right side
    2,288,172x = 11,983,931,153,742.25
  5. Step 5: Solve for x
    x = 11,983,931,153,742.25/2,288,172
  6. Step 6: Final answer
    x = 5,237,338.43

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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.