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Finding the Third Proportional to 719,459 and 1,039,408

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Solution

The third proportional to 719,459 and 1,039,408 is: 1,501,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,459 : 1,039,408 = 1,039,408 : x
  2. Step 2: Convert to fraction form
    719,459/1,039,408 = 1,039,408/x
  3. Step 3: Cross multiply
    719,459x = 1,039,408 × 1,039,408
  4. Step 4: Simplify right side
    719,459x = 1,080,368,990,464
  5. Step 5: Solve for x
    x = 1,080,368,990,464/719,459
  6. Step 6: Final answer
    x = 1,501,640.80

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