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Finding the Third Proportional to 508,049 and 1,136,386

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Solution

The third proportional to 508,049 and 1,136,386 is: 2,541,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,049 : 1,136,386 = 1,136,386 : x
  2. Step 2: Convert to fraction form
    508,049/1,136,386 = 1,136,386/x
  3. Step 3: Cross multiply
    508,049x = 1,136,386 × 1,136,386
  4. Step 4: Simplify right side
    508,049x = 1,291,373,140,996
  5. Step 5: Solve for x
    x = 1,291,373,140,996/508,049
  6. Step 6: Final answer
    x = 2,541,827.94

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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.