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Finding the Third Proportional to 734,508 and 1,557,225

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Solution

The third proportional to 734,508 and 1,557,225 is: 3,301,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,508 : 1,557,225 = 1,557,225 : x
  2. Step 2: Convert to fraction form
    734,508/1,557,225 = 1,557,225/x
  3. Step 3: Cross multiply
    734,508x = 1,557,225 × 1,557,225
  4. Step 4: Simplify right side
    734,508x = 2,424,949,700,625
  5. Step 5: Solve for x
    x = 2,424,949,700,625/734,508
  6. Step 6: Final answer
    x = 3,301,461.25

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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.