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Finding the Third Proportional to 527,769 and 1,158,297

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Solution

The third proportional to 527,769 and 1,158,297 is: 2,542,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,769 : 1,158,297 = 1,158,297 : x
  2. Step 2: Convert to fraction form
    527,769/1,158,297 = 1,158,297/x
  3. Step 3: Cross multiply
    527,769x = 1,158,297 × 1,158,297
  4. Step 4: Simplify right side
    527,769x = 1,341,651,940,209
  5. Step 5: Solve for x
    x = 1,341,651,940,209/527,769
  6. Step 6: Final answer
    x = 2,542,119.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.