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Finding the Third Proportional to 497,602 and 1,066,195

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Solution

The third proportional to 497,602 and 1,066,195 is: 2,284,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,602 : 1,066,195 = 1,066,195 : x
  2. Step 2: Convert to fraction form
    497,602/1,066,195 = 1,066,195/x
  3. Step 3: Cross multiply
    497,602x = 1,066,195 × 1,066,195
  4. Step 4: Simplify right side
    497,602x = 1,136,771,778,025
  5. Step 5: Solve for x
    x = 1,136,771,778,025/497,602
  6. Step 6: Final answer
    x = 2,284,500.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.