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Finding the Third Proportional to 701,196 and 1,535,068

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Solution

The third proportional to 701,196 and 1,535,068 is: 3,360,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,196 : 1,535,068 = 1,535,068 : x
  2. Step 2: Convert to fraction form
    701,196/1,535,068 = 1,535,068/x
  3. Step 3: Cross multiply
    701,196x = 1,535,068 × 1,535,068
  4. Step 4: Simplify right side
    701,196x = 2,356,433,764,624
  5. Step 5: Solve for x
    x = 2,356,433,764,624/701,196
  6. Step 6: Final answer
    x = 3,360,592.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.