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Finding the Third Proportional to 719,714 and 1,036,803

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Solution

The third proportional to 719,714 and 1,036,803 is: 1,493,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,714 : 1,036,803 = 1,036,803 : x
  2. Step 2: Convert to fraction form
    719,714/1,036,803 = 1,036,803/x
  3. Step 3: Cross multiply
    719,714x = 1,036,803 × 1,036,803
  4. Step 4: Simplify right side
    719,714x = 1,074,960,460,809
  5. Step 5: Solve for x
    x = 1,074,960,460,809/719,714
  6. Step 6: Final answer
    x = 1,493,593.93

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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.