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Finding the Third Proportional to 745,736 and 1,564,336

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Solution

The third proportional to 745,736 and 1,564,336 is: 3,281,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,736 : 1,564,336 = 1,564,336 : x
  2. Step 2: Convert to fraction form
    745,736/1,564,336 = 1,564,336/x
  3. Step 3: Cross multiply
    745,736x = 1,564,336 × 1,564,336
  4. Step 4: Simplify right side
    745,736x = 2,447,147,120,896
  5. Step 5: Solve for x
    x = 2,447,147,120,896/745,736
  6. Step 6: Final answer
    x = 3,281,519.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.