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Finding the Third Proportional to 603,389 and 894,646

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Solution

The third proportional to 603,389 and 894,646 is: 1,326,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,389 : 894,646 = 894,646 : x
  2. Step 2: Convert to fraction form
    603,389/894,646 = 894,646/x
  3. Step 3: Cross multiply
    603,389x = 894,646 × 894,646
  4. Step 4: Simplify right side
    603,389x = 800,391,465,316
  5. Step 5: Solve for x
    x = 800,391,465,316/603,389
  6. Step 6: Final answer
    x = 1,326,493.30

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