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Finding the Third Proportional to 603,374 and 894,623

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Solution

The third proportional to 603,374 and 894,623 is: 1,326,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,374 : 894,623 = 894,623 : x
  2. Step 2: Convert to fraction form
    603,374/894,623 = 894,623/x
  3. Step 3: Cross multiply
    603,374x = 894,623 × 894,623
  4. Step 4: Simplify right side
    603,374x = 800,350,312,129
  5. Step 5: Solve for x
    x = 800,350,312,129/603,374
  6. Step 6: Final answer
    x = 1,326,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.