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Finding the Third Proportional to 592,436 and 846,591

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Solution

The third proportional to 592,436 and 846,591 is: 1,209,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,436 : 846,591 = 846,591 : x
  2. Step 2: Convert to fraction form
    592,436/846,591 = 846,591/x
  3. Step 3: Cross multiply
    592,436x = 846,591 × 846,591
  4. Step 4: Simplify right side
    592,436x = 716,716,321,281
  5. Step 5: Solve for x
    x = 716,716,321,281/592,436
  6. Step 6: Final answer
    x = 1,209,778.48

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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.