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Finding the Third Proportional to 719,457.38 and 1,039,407.56

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Solution

The third proportional to 719,457.38 and 1,039,407.56 is: 1,501,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,457.38 : 1,039,407.56 = 1,039,407.56 : x
  2. Step 2: Convert to fraction form
    719,457.38/1,039,407.56 = 1,039,407.56/x
  3. Step 3: Cross multiply
    719,457.38x = 1,039,407.56 × 1,039,407.56
  4. Step 4: Simplify right side
    719,457.38x = 1,080,368,080,982.19
  5. Step 5: Solve for x
    x = 1,080,368,080,982.19/719,457.38
  6. Step 6: Final answer
    x = 1,501,642.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.