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Finding the Third Proportional to 719,458 and 1,039,406

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Solution

The third proportional to 719,458 and 1,039,406 is: 1,501,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,458 : 1,039,406 = 1,039,406 : x
  2. Step 2: Convert to fraction form
    719,458/1,039,406 = 1,039,406/x
  3. Step 3: Cross multiply
    719,458x = 1,039,406 × 1,039,406
  4. Step 4: Simplify right side
    719,458x = 1,080,364,832,836
  5. Step 5: Solve for x
    x = 1,080,364,832,836/719,458
  6. Step 6: Final answer
    x = 1,501,637.11

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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.