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Finding the Third Proportional to 472,850 and 1,026,076

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Solution

The third proportional to 472,850 and 1,026,076 is: 2,226,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,850 : 1,026,076 = 1,026,076 : x
  2. Step 2: Convert to fraction form
    472,850/1,026,076 = 1,026,076/x
  3. Step 3: Cross multiply
    472,850x = 1,026,076 × 1,026,076
  4. Step 4: Simplify right side
    472,850x = 1,052,831,957,776
  5. Step 5: Solve for x
    x = 1,052,831,957,776/472,850
  6. Step 6: Final answer
    x = 2,226,566.48

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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.