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Finding the Third Proportional to 585,997 and 1,243,936

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Solution

The third proportional to 585,997 and 1,243,936 is: 2,640,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,997 : 1,243,936 = 1,243,936 : x
  2. Step 2: Convert to fraction form
    585,997/1,243,936 = 1,243,936/x
  3. Step 3: Cross multiply
    585,997x = 1,243,936 × 1,243,936
  4. Step 4: Simplify right side
    585,997x = 1,547,376,772,096
  5. Step 5: Solve for x
    x = 1,547,376,772,096/585,997
  6. Step 6: Final answer
    x = 2,640,588.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.