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Finding the Third Proportional to 700,849 and 1,097,944

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Solution

The third proportional to 700,849 and 1,097,944 is: 1,720,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,849 : 1,097,944 = 1,097,944 : x
  2. Step 2: Convert to fraction form
    700,849/1,097,944 = 1,097,944/x
  3. Step 3: Cross multiply
    700,849x = 1,097,944 × 1,097,944
  4. Step 4: Simplify right side
    700,849x = 1,205,481,027,136
  5. Step 5: Solve for x
    x = 1,205,481,027,136/700,849
  6. Step 6: Final answer
    x = 1,720,029.60

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