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Finding the Third Proportional to 734,390 and 1,613,312

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Solution

The third proportional to 734,390 and 1,613,312 is: 3,544,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,390 : 1,613,312 = 1,613,312 : x
  2. Step 2: Convert to fraction form
    734,390/1,613,312 = 1,613,312/x
  3. Step 3: Cross multiply
    734,390x = 1,613,312 × 1,613,312
  4. Step 4: Simplify right side
    734,390x = 2,602,775,609,344
  5. Step 5: Solve for x
    x = 2,602,775,609,344/734,390
  6. Step 6: Final answer
    x = 3,544,132.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.