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Finding the Third Proportional to 750,616 and 1,161,828

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Solution

The third proportional to 750,616 and 1,161,828 is: 1,798,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,616 : 1,161,828 = 1,161,828 : x
  2. Step 2: Convert to fraction form
    750,616/1,161,828 = 1,161,828/x
  3. Step 3: Cross multiply
    750,616x = 1,161,828 × 1,161,828
  4. Step 4: Simplify right side
    750,616x = 1,349,844,301,584
  5. Step 5: Solve for x
    x = 1,349,844,301,584/750,616
  6. Step 6: Final answer
    x = 1,798,315.39

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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.