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Finding the Third Proportional to 527,058 and 1,159,074

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Solution

The third proportional to 527,058 and 1,159,074 is: 2,548,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,058 : 1,159,074 = 1,159,074 : x
  2. Step 2: Convert to fraction form
    527,058/1,159,074 = 1,159,074/x
  3. Step 3: Cross multiply
    527,058x = 1,159,074 × 1,159,074
  4. Step 4: Simplify right side
    527,058x = 1,343,452,537,476
  5. Step 5: Solve for x
    x = 1,343,452,537,476/527,058
  6. Step 6: Final answer
    x = 2,548,965.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.