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Finding the Third Proportional to 585,993 and 1,243,926

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Solution

The third proportional to 585,993 and 1,243,926 is: 2,640,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,993 : 1,243,926 = 1,243,926 : x
  2. Step 2: Convert to fraction form
    585,993/1,243,926 = 1,243,926/x
  3. Step 3: Cross multiply
    585,993x = 1,243,926 × 1,243,926
  4. Step 4: Simplify right side
    585,993x = 1,547,351,893,476
  5. Step 5: Solve for x
    x = 1,547,351,893,476/585,993
  6. Step 6: Final answer
    x = 2,640,563.78

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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.