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Finding the Third Proportional to 504,678 and 1,103,396

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Solution

The third proportional to 504,678 and 1,103,396 is: 2,412,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,678 : 1,103,396 = 1,103,396 : x
  2. Step 2: Convert to fraction form
    504,678/1,103,396 = 1,103,396/x
  3. Step 3: Cross multiply
    504,678x = 1,103,396 × 1,103,396
  4. Step 4: Simplify right side
    504,678x = 1,217,482,732,816
  5. Step 5: Solve for x
    x = 1,217,482,732,816/504,678
  6. Step 6: Final answer
    x = 2,412,395.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.