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Finding the Third Proportional to 542,938 and 860,426

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Solution

The third proportional to 542,938 and 860,426 is: 1,363,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,938 : 860,426 = 860,426 : x
  2. Step 2: Convert to fraction form
    542,938/860,426 = 860,426/x
  3. Step 3: Cross multiply
    542,938x = 860,426 × 860,426
  4. Step 4: Simplify right side
    542,938x = 740,332,901,476
  5. Step 5: Solve for x
    x = 740,332,901,476/542,938
  6. Step 6: Final answer
    x = 1,363,568.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.