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Finding the Third Proportional to 560,612 and 1,316,132

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Solution

The third proportional to 560,612 and 1,316,132 is: 3,089,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,612 : 1,316,132 = 1,316,132 : x
  2. Step 2: Convert to fraction form
    560,612/1,316,132 = 1,316,132/x
  3. Step 3: Cross multiply
    560,612x = 1,316,132 × 1,316,132
  4. Step 4: Simplify right side
    560,612x = 1,732,203,441,424
  5. Step 5: Solve for x
    x = 1,732,203,441,424/560,612
  6. Step 6: Final answer
    x = 3,089,843.67

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Why These Related Problems?

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