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Finding the Third Proportional to 764,964 and 1,035,114.19

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Solution

The third proportional to 764,964 and 1,035,114.19 is: 1,400,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,964 : 1,035,114.19 = 1,035,114.19 : x
  2. Step 2: Convert to fraction form
    764,964/1,035,114.19 = 1,035,114.19/x
  3. Step 3: Cross multiply
    764,964x = 1,035,114.19 × 1,035,114.19
  4. Step 4: Simplify right side
    764,964x = 1,071,461,381,163.79
  5. Step 5: Solve for x
    x = 1,071,461,381,163.79/764,964
  6. Step 6: Final answer
    x = 1,400,669.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.