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Finding the Third Proportional to 423,243 and 904,723

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Solution

The third proportional to 423,243 and 904,723 is: 1,933,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,243 : 904,723 = 904,723 : x
  2. Step 2: Convert to fraction form
    423,243/904,723 = 904,723/x
  3. Step 3: Cross multiply
    423,243x = 904,723 × 904,723
  4. Step 4: Simplify right side
    423,243x = 818,523,706,729
  5. Step 5: Solve for x
    x = 818,523,706,729/423,243
  6. Step 6: Final answer
    x = 1,933,933.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.