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Finding the Third Proportional to 592,472 and 846,642

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Solution

The third proportional to 592,472 and 846,642 is: 1,209,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,472 : 846,642 = 846,642 : x
  2. Step 2: Convert to fraction form
    592,472/846,642 = 846,642/x
  3. Step 3: Cross multiply
    592,472x = 846,642 × 846,642
  4. Step 4: Simplify right side
    592,472x = 716,802,676,164
  5. Step 5: Solve for x
    x = 716,802,676,164/592,472
  6. Step 6: Final answer
    x = 1,209,850.72

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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.