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Finding the Third Proportional to 669,643.03 and 1,010,502.42

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Solution

The third proportional to 669,643.03 and 1,010,502.42 is: 1,524,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,643.03 : 1,010,502.42 = 1,010,502.42 : x
  2. Step 2: Convert to fraction form
    669,643.03/1,010,502.42 = 1,010,502.42/x
  3. Step 3: Cross multiply
    669,643.03x = 1,010,502.42 × 1,010,502.42
  4. Step 4: Simplify right side
    669,643.03x = 1,021,115,144,615.24
  5. Step 5: Solve for x
    x = 1,021,115,144,615.24/669,643.03
  6. Step 6: Final answer
    x = 1,524,864.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.