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Finding the Third Proportional to 592,086 and 1,302,270

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Solution

The third proportional to 592,086 and 1,302,270 is: 2,864,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,086 : 1,302,270 = 1,302,270 : x
  2. Step 2: Convert to fraction form
    592,086/1,302,270 = 1,302,270/x
  3. Step 3: Cross multiply
    592,086x = 1,302,270 × 1,302,270
  4. Step 4: Simplify right side
    592,086x = 1,695,907,152,900
  5. Step 5: Solve for x
    x = 1,695,907,152,900/592,086
  6. Step 6: Final answer
    x = 2,864,291.93

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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.