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Finding the Third Proportional to 1,728,851 and 2,537,224

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Solution

The third proportional to 1,728,851 and 2,537,224 is: 3,723,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,851 : 2,537,224 = 2,537,224 : x
  2. Step 2: Convert to fraction form
    1,728,851/2,537,224 = 2,537,224/x
  3. Step 3: Cross multiply
    1,728,851x = 2,537,224 × 2,537,224
  4. Step 4: Simplify right side
    1,728,851x = 6,437,505,626,176
  5. Step 5: Solve for x
    x = 6,437,505,626,176/1,728,851
  6. Step 6: Final answer
    x = 3,723,574.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.