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Finding the Third Proportional to 474,843,634 and 1,046,292,798

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Solution

The third proportional to 474,843,634 and 1,046,292,798 is: 2,305,450,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843,634 : 1,046,292,798 = 1,046,292,798 : x
  2. Step 2: Convert to fraction form
    474,843,634/1,046,292,798 = 1,046,292,798/x
  3. Step 3: Cross multiply
    474,843,634x = 1,046,292,798 × 1,046,292,798
  4. Step 4: Simplify right side
    474,843,634x = 1,094,728,619,146,668,800
  5. Step 5: Solve for x
    x = 1,094,728,619,146,668,800/474,843,634
  6. Step 6: Final answer
    x = 2,305,450,764.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.