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Finding the Third Proportional to 474,778,827 and 717,129,477

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Solution

The third proportional to 474,778,827 and 717,129,477 is: 1,083,187,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,778,827 : 717,129,477 = 717,129,477 : x
  2. Step 2: Convert to fraction form
    474,778,827/717,129,477 = 717,129,477/x
  3. Step 3: Cross multiply
    474,778,827x = 717,129,477 × 717,129,477
  4. Step 4: Simplify right side
    474,778,827x = 514,274,686,782,293,504
  5. Step 5: Solve for x
    x = 514,274,686,782,293,504/474,778,827
  6. Step 6: Final answer
    x = 1,083,187,913.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.