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Finding the Third Proportional to 648,739,548 and 1,343,469,276

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Solution

The third proportional to 648,739,548 and 1,343,469,276 is: 2,782,179,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,739,548 : 1,343,469,276 = 1,343,469,276 : x
  2. Step 2: Convert to fraction form
    648,739,548/1,343,469,276 = 1,343,469,276/x
  3. Step 3: Cross multiply
    648,739,548x = 1,343,469,276 × 1,343,469,276
  4. Step 4: Simplify right side
    648,739,548x = 1,804,909,695,555,964,160
  5. Step 5: Solve for x
    x = 1,804,909,695,555,964,160/648,739,548
  6. Step 6: Final answer
    x = 2,782,179,229.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.