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Finding the Third Proportional to 734,184 and 1,551,312

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Solution

The third proportional to 734,184 and 1,551,312 is: 3,277,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,184 : 1,551,312 = 1,551,312 : x
  2. Step 2: Convert to fraction form
    734,184/1,551,312 = 1,551,312/x
  3. Step 3: Cross multiply
    734,184x = 1,551,312 × 1,551,312
  4. Step 4: Simplify right side
    734,184x = 2,406,568,921,344
  5. Step 5: Solve for x
    x = 2,406,568,921,344/734,184
  6. Step 6: Final answer
    x = 3,277,882.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.