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Finding the Third Proportional to 592,474 and 846,647

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Solution

The third proportional to 592,474 and 846,647 is: 1,209,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,474 : 846,647 = 846,647 : x
  2. Step 2: Convert to fraction form
    592,474/846,647 = 846,647/x
  3. Step 3: Cross multiply
    592,474x = 846,647 × 846,647
  4. Step 4: Simplify right side
    592,474x = 716,811,142,609
  5. Step 5: Solve for x
    x = 716,811,142,609/592,474
  6. Step 6: Final answer
    x = 1,209,860.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.