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Finding the Third Proportional to 716,697 and 1,036,013

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Solution

The third proportional to 716,697 and 1,036,013 is: 1,497,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,697 : 1,036,013 = 1,036,013 : x
  2. Step 2: Convert to fraction form
    716,697/1,036,013 = 1,036,013/x
  3. Step 3: Cross multiply
    716,697x = 1,036,013 × 1,036,013
  4. Step 4: Simplify right side
    716,697x = 1,073,322,936,169
  5. Step 5: Solve for x
    x = 1,073,322,936,169/716,697
  6. Step 6: Final answer
    x = 1,497,596.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.