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Finding the Third Proportional to 736,122 and 1,588,233

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Solution

The third proportional to 736,122 and 1,588,233 is: 3,426,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,122 : 1,588,233 = 1,588,233 : x
  2. Step 2: Convert to fraction form
    736,122/1,588,233 = 1,588,233/x
  3. Step 3: Cross multiply
    736,122x = 1,588,233 × 1,588,233
  4. Step 4: Simplify right side
    736,122x = 2,522,484,062,289
  5. Step 5: Solve for x
    x = 2,522,484,062,289/736,122
  6. Step 6: Final answer
    x = 3,426,720.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.