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Finding the Third Proportional to 592,478 and 846,651

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Solution

The third proportional to 592,478 and 846,651 is: 1,209,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,478 : 846,651 = 846,651 : x
  2. Step 2: Convert to fraction form
    592,478/846,651 = 846,651/x
  3. Step 3: Cross multiply
    592,478x = 846,651 × 846,651
  4. Step 4: Simplify right side
    592,478x = 716,817,915,801
  5. Step 5: Solve for x
    x = 716,817,915,801/592,478
  6. Step 6: Final answer
    x = 1,209,864.19

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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.