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Finding the Third Proportional to 748,958 and 1,638,037

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Solution

The third proportional to 748,958 and 1,638,037 is: 3,582,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,958 : 1,638,037 = 1,638,037 : x
  2. Step 2: Convert to fraction form
    748,958/1,638,037 = 1,638,037/x
  3. Step 3: Cross multiply
    748,958x = 1,638,037 × 1,638,037
  4. Step 4: Simplify right side
    748,958x = 2,683,165,213,369
  5. Step 5: Solve for x
    x = 2,683,165,213,369/748,958
  6. Step 6: Final answer
    x = 3,582,530.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.