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Finding the Third Proportional to 471,851 and 1,026,643

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Solution

The third proportional to 471,851 and 1,026,643 is: 2,233,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,851 : 1,026,643 = 1,026,643 : x
  2. Step 2: Convert to fraction form
    471,851/1,026,643 = 1,026,643/x
  3. Step 3: Cross multiply
    471,851x = 1,026,643 × 1,026,643
  4. Step 4: Simplify right side
    471,851x = 1,053,995,849,449
  5. Step 5: Solve for x
    x = 1,053,995,849,449/471,851
  6. Step 6: Final answer
    x = 2,233,747.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.