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Finding the Third Proportional to 474,843,632 and 1,046,292,794

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Solution

The third proportional to 474,843,632 and 1,046,292,794 is: 2,305,450,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843,632 : 1,046,292,794 = 1,046,292,794 : x
  2. Step 2: Convert to fraction form
    474,843,632/1,046,292,794 = 1,046,292,794/x
  3. Step 3: Cross multiply
    474,843,632x = 1,046,292,794 × 1,046,292,794
  4. Step 4: Simplify right side
    474,843,632x = 1,094,728,610,776,326,400
  5. Step 5: Solve for x
    x = 1,094,728,610,776,326,400/474,843,632
  6. Step 6: Final answer
    x = 2,305,450,756.84

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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.