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Finding the Third Proportional to 700,710.75 and 1,097,768.53

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Solution

The third proportional to 700,710.75 and 1,097,768.53 is: 1,719,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,710.75 : 1,097,768.53 = 1,097,768.53 : x
  2. Step 2: Convert to fraction form
    700,710.75/1,097,768.53 = 1,097,768.53/x
  3. Step 3: Cross multiply
    700,710.75x = 1,097,768.53 × 1,097,768.53
  4. Step 4: Simplify right side
    700,710.75x = 1,205,095,748,202.78
  5. Step 5: Solve for x
    x = 1,205,095,748,202.78/700,710.75
  6. Step 6: Final answer
    x = 1,719,819.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.