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Finding the Third Proportional to 651,728 and 910,483

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Solution

The third proportional to 651,728 and 910,483 is: 1,271,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,728 : 910,483 = 910,483 : x
  2. Step 2: Convert to fraction form
    651,728/910,483 = 910,483/x
  3. Step 3: Cross multiply
    651,728x = 910,483 × 910,483
  4. Step 4: Simplify right side
    651,728x = 828,979,293,289
  5. Step 5: Solve for x
    x = 828,979,293,289/651,728
  6. Step 6: Final answer
    x = 1,271,971.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.