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Finding the Third Proportional to 592,717 and 846,979

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Solution

The third proportional to 592,717 and 846,979 is: 1,210,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,717 : 846,979 = 846,979 : x
  2. Step 2: Convert to fraction form
    592,717/846,979 = 846,979/x
  3. Step 3: Cross multiply
    592,717x = 846,979 × 846,979
  4. Step 4: Simplify right side
    592,717x = 717,373,426,441
  5. Step 5: Solve for x
    x = 717,373,426,441/592,717
  6. Step 6: Final answer
    x = 1,210,313.57

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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.