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Finding the Third Proportional to 751,007 and 1,164,446

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Solution

The third proportional to 751,007 and 1,164,446 is: 1,805,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,007 : 1,164,446 = 1,164,446 : x
  2. Step 2: Convert to fraction form
    751,007/1,164,446 = 1,164,446/x
  3. Step 3: Cross multiply
    751,007x = 1,164,446 × 1,164,446
  4. Step 4: Simplify right side
    751,007x = 1,355,934,486,916
  5. Step 5: Solve for x
    x = 1,355,934,486,916/751,007
  6. Step 6: Final answer
    x = 1,805,488.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.