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Finding the Third Proportional to 508,044 and 1,136,376

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Solution

The third proportional to 508,044 and 1,136,376 is: 2,541,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,044 : 1,136,376 = 1,136,376 : x
  2. Step 2: Convert to fraction form
    508,044/1,136,376 = 1,136,376/x
  3. Step 3: Cross multiply
    508,044x = 1,136,376 × 1,136,376
  4. Step 4: Simplify right side
    508,044x = 1,291,350,413,376
  5. Step 5: Solve for x
    x = 1,291,350,413,376/508,044
  6. Step 6: Final answer
    x = 2,541,808.22

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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.