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Finding the Third Proportional to 472,857 and 1,026,090

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Solution

The third proportional to 472,857 and 1,026,090 is: 2,226,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,857 : 1,026,090 = 1,026,090 : x
  2. Step 2: Convert to fraction form
    472,857/1,026,090 = 1,026,090/x
  3. Step 3: Cross multiply
    472,857x = 1,026,090 × 1,026,090
  4. Step 4: Simplify right side
    472,857x = 1,052,860,688,100
  5. Step 5: Solve for x
    x = 1,052,860,688,100/472,857
  6. Step 6: Final answer
    x = 2,226,594.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.