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Finding the Third Proportional to 474,598,464 and 1,039,683,324

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Solution

The third proportional to 474,598,464 and 1,039,683,324 is: 2,277,591,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,598,464 : 1,039,683,324 = 1,039,683,324 : x
  2. Step 2: Convert to fraction form
    474,598,464/1,039,683,324 = 1,039,683,324/x
  3. Step 3: Cross multiply
    474,598,464x = 1,039,683,324 × 1,039,683,324
  4. Step 4: Simplify right side
    474,598,464x = 1,080,941,414,203,688,960
  5. Step 5: Solve for x
    x = 1,080,941,414,203,688,960/474,598,464
  6. Step 6: Final answer
    x = 2,277,591,471.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.