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Finding the Third Proportional to 466,752 and 1,024,272

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Solution

The third proportional to 466,752 and 1,024,272 is: 2,247,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,752 : 1,024,272 = 1,024,272 : x
  2. Step 2: Convert to fraction form
    466,752/1,024,272 = 1,024,272/x
  3. Step 3: Cross multiply
    466,752x = 1,024,272 × 1,024,272
  4. Step 4: Simplify right side
    466,752x = 1,049,133,129,984
  5. Step 5: Solve for x
    x = 1,049,133,129,984/466,752
  6. Step 6: Final answer
    x = 2,247,731.41

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