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Finding the Third Proportional to 1,117,851 and 2,424,742.50

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Solution

The third proportional to 1,117,851 and 2,424,742.50 is: 5,259,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,851 : 2,424,742.50 = 2,424,742.50 : x
  2. Step 2: Convert to fraction form
    1,117,851/2,424,742.50 = 2,424,742.50/x
  3. Step 3: Cross multiply
    1,117,851x = 2,424,742.50 × 2,424,742.50
  4. Step 4: Simplify right side
    1,117,851x = 5,879,376,191,306.25
  5. Step 5: Solve for x
    x = 5,879,376,191,306.25/1,117,851
  6. Step 6: Final answer
    x = 5,259,534.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.