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Finding the Third Proportional to 508,034 and 1,136,353

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Solution

The third proportional to 508,034 and 1,136,353 is: 2,541,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,034 : 1,136,353 = 1,136,353 : x
  2. Step 2: Convert to fraction form
    508,034/1,136,353 = 1,136,353/x
  3. Step 3: Cross multiply
    508,034x = 1,136,353 × 1,136,353
  4. Step 4: Simplify right side
    508,034x = 1,291,298,140,609
  5. Step 5: Solve for x
    x = 1,291,298,140,609/508,034
  6. Step 6: Final answer
    x = 2,541,755.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.