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Finding the Third Proportional to 497,582 and 1,060,212

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Solution

The third proportional to 497,582 and 1,060,212 is: 2,259,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,582 : 1,060,212 = 1,060,212 : x
  2. Step 2: Convert to fraction form
    497,582/1,060,212 = 1,060,212/x
  3. Step 3: Cross multiply
    497,582x = 1,060,212 × 1,060,212
  4. Step 4: Simplify right side
    497,582x = 1,124,049,484,944
  5. Step 5: Solve for x
    x = 1,124,049,484,944/497,582
  6. Step 6: Final answer
    x = 2,259,023.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.