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Finding the Third Proportional to 684,936 and 1,084,515.75

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Solution

The third proportional to 684,936 and 1,084,515.75 is: 1,717,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,936 : 1,084,515.75 = 1,084,515.75 : x
  2. Step 2: Convert to fraction form
    684,936/1,084,515.75 = 1,084,515.75/x
  3. Step 3: Cross multiply
    684,936x = 1,084,515.75 × 1,084,515.75
  4. Step 4: Simplify right side
    684,936x = 1,176,174,411,998.06
  5. Step 5: Solve for x
    x = 1,176,174,411,998.06/684,936
  6. Step 6: Final answer
    x = 1,717,203.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.