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Finding the Third Proportional to 508,045 and 1,136,378

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Solution

The third proportional to 508,045 and 1,136,378 is: 2,541,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,045 : 1,136,378 = 1,136,378 : x
  2. Step 2: Convert to fraction form
    508,045/1,136,378 = 1,136,378/x
  3. Step 3: Cross multiply
    508,045x = 1,136,378 × 1,136,378
  4. Step 4: Simplify right side
    508,045x = 1,291,354,958,884
  5. Step 5: Solve for x
    x = 1,291,354,958,884/508,045
  6. Step 6: Final answer
    x = 2,541,812.16

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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.