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Finding the Third Proportional to 560,560 and 1,316,002

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Solution

The third proportional to 560,560 and 1,316,002 is: 3,089,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,560 : 1,316,002 = 1,316,002 : x
  2. Step 2: Convert to fraction form
    560,560/1,316,002 = 1,316,002/x
  3. Step 3: Cross multiply
    560,560x = 1,316,002 × 1,316,002
  4. Step 4: Simplify right side
    560,560x = 1,731,861,264,004
  5. Step 5: Solve for x
    x = 1,731,861,264,004/560,560
  6. Step 6: Final answer
    x = 3,089,519.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.