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Finding the Third Proportional to 560,963 and 1,200,739

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Solution

The third proportional to 560,963 and 1,200,739 is: 2,570,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,963 : 1,200,739 = 1,200,739 : x
  2. Step 2: Convert to fraction form
    560,963/1,200,739 = 1,200,739/x
  3. Step 3: Cross multiply
    560,963x = 1,200,739 × 1,200,739
  4. Step 4: Simplify right side
    560,963x = 1,441,774,146,121
  5. Step 5: Solve for x
    x = 1,441,774,146,121/560,963
  6. Step 6: Final answer
    x = 2,570,176.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.