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Finding the Third Proportional to 527,346 and 1,092,077

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Solution

The third proportional to 527,346 and 1,092,077 is: 2,261,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,346 : 1,092,077 = 1,092,077 : x
  2. Step 2: Convert to fraction form
    527,346/1,092,077 = 1,092,077/x
  3. Step 3: Cross multiply
    527,346x = 1,092,077 × 1,092,077
  4. Step 4: Simplify right side
    527,346x = 1,192,632,173,929
  5. Step 5: Solve for x
    x = 1,192,632,173,929/527,346
  6. Step 6: Final answer
    x = 2,261,574.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.