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Finding the Third Proportional to 478,940,728 and 1,034,521,712

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Solution

The third proportional to 478,940,728 and 1,034,521,712 is: 2,234,587,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,940,728 : 1,034,521,712 = 1,034,521,712 : x
  2. Step 2: Convert to fraction form
    478,940,728/1,034,521,712 = 1,034,521,712/x
  3. Step 3: Cross multiply
    478,940,728x = 1,034,521,712 × 1,034,521,712
  4. Step 4: Simplify right side
    478,940,728x = 1,070,235,172,599,410,944
  5. Step 5: Solve for x
    x = 1,070,235,172,599,410,944/478,940,728
  6. Step 6: Final answer
    x = 2,234,587,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.