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Finding the Third Proportional to 527,069 and 1,159,095

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Solution

The third proportional to 527,069 and 1,159,095 is: 2,549,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,069 : 1,159,095 = 1,159,095 : x
  2. Step 2: Convert to fraction form
    527,069/1,159,095 = 1,159,095/x
  3. Step 3: Cross multiply
    527,069x = 1,159,095 × 1,159,095
  4. Step 4: Simplify right side
    527,069x = 1,343,501,219,025
  5. Step 5: Solve for x
    x = 1,343,501,219,025/527,069
  6. Step 6: Final answer
    x = 2,549,004.44

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