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Finding the Third Proportional to 592,466 and 846,638

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Solution

The third proportional to 592,466 and 846,638 is: 1,209,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,466 : 846,638 = 846,638 : x
  2. Step 2: Convert to fraction form
    592,466/846,638 = 846,638/x
  3. Step 3: Cross multiply
    592,466x = 846,638 × 846,638
  4. Step 4: Simplify right side
    592,466x = 716,795,903,044
  5. Step 5: Solve for x
    x = 716,795,903,044/592,466
  6. Step 6: Final answer
    x = 1,209,851.54

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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.