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Finding the Third Proportional to 560,762 and 1,233,670

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Solution

The third proportional to 560,762 and 1,233,670 is: 2,714,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,762 : 1,233,670 = 1,233,670 : x
  2. Step 2: Convert to fraction form
    560,762/1,233,670 = 1,233,670/x
  3. Step 3: Cross multiply
    560,762x = 1,233,670 × 1,233,670
  4. Step 4: Simplify right side
    560,762x = 1,521,941,668,900
  5. Step 5: Solve for x
    x = 1,521,941,668,900/560,762
  6. Step 6: Final answer
    x = 2,714,059.92

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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.