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Finding the Third Proportional to 597,256,180 and 1,242,188,948

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Solution

The third proportional to 597,256,180 and 1,242,188,948 is: 2,583,536,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,256,180 : 1,242,188,948 = 1,242,188,948 : x
  2. Step 2: Convert to fraction form
    597,256,180/1,242,188,948 = 1,242,188,948/x
  3. Step 3: Cross multiply
    597,256,180x = 1,242,188,948 × 1,242,188,948
  4. Step 4: Simplify right side
    597,256,180x = 1,543,033,382,533,346,816
  5. Step 5: Solve for x
    x = 1,543,033,382,533,346,816/597,256,180
  6. Step 6: Final answer
    x = 2,583,536,904.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.