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Finding the Third Proportional to 534,577 and 1,163,261

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Solution

The third proportional to 534,577 and 1,163,261 is: 2,531,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,577 : 1,163,261 = 1,163,261 : x
  2. Step 2: Convert to fraction form
    534,577/1,163,261 = 1,163,261/x
  3. Step 3: Cross multiply
    534,577x = 1,163,261 × 1,163,261
  4. Step 4: Simplify right side
    534,577x = 1,353,176,154,121
  5. Step 5: Solve for x
    x = 1,353,176,154,121/534,577
  6. Step 6: Final answer
    x = 2,531,302.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.