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Finding the Third Proportional to 497,565.28 and 1,066,116.94

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Solution

The third proportional to 497,565.28 and 1,066,116.94 is: 2,284,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,565.28 : 1,066,116.94 = 1,066,116.94 : x
  2. Step 2: Convert to fraction form
    497,565.28/1,066,116.94 = 1,066,116.94/x
  3. Step 3: Cross multiply
    497,565.28x = 1,066,116.94 × 1,066,116.94
  4. Step 4: Simplify right side
    497,565.28x = 1,136,605,324,424.38
  5. Step 5: Solve for x
    x = 1,136,605,324,424.38/497,565.28
  6. Step 6: Final answer
    x = 2,284,334.07

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Why These Related Problems?

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