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Finding the Third Proportional to 560,961 and 1,234,071

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Solution

The third proportional to 560,961 and 1,234,071 is: 2,714,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,961 : 1,234,071 = 1,234,071 : x
  2. Step 2: Convert to fraction form
    560,961/1,234,071 = 1,234,071/x
  3. Step 3: Cross multiply
    560,961x = 1,234,071 × 1,234,071
  4. Step 4: Simplify right side
    560,961x = 1,522,931,233,041
  5. Step 5: Solve for x
    x = 1,522,931,233,041/560,961
  6. Step 6: Final answer
    x = 2,714,861.16

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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.