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Finding the Third Proportional to 592,472 and 846,644

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Solution

The third proportional to 592,472 and 846,644 is: 1,209,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,472 : 846,644 = 846,644 : x
  2. Step 2: Convert to fraction form
    592,472/846,644 = 846,644/x
  3. Step 3: Cross multiply
    592,472x = 846,644 × 846,644
  4. Step 4: Simplify right side
    592,472x = 716,806,062,736
  5. Step 5: Solve for x
    x = 716,806,062,736/592,472
  6. Step 6: Final answer
    x = 1,209,856.44

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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.