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Finding the Third Proportional to 762,735.23 and 1,035,889.07

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Solution

The third proportional to 762,735.23 and 1,035,889.07 is: 1,406,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,735.23 : 1,035,889.07 = 1,035,889.07 : x
  2. Step 2: Convert to fraction form
    762,735.23/1,035,889.07 = 1,035,889.07/x
  3. Step 3: Cross multiply
    762,735.23x = 1,035,889.07 × 1,035,889.07
  4. Step 4: Simplify right side
    762,735.23x = 1,073,066,157,899.91
  5. Step 5: Solve for x
    x = 1,073,066,157,899.91/762,735.23
  6. Step 6: Final answer
    x = 1,406,865.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.