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Finding the Third Proportional to 904,965 and 1,787,088

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Solution

The third proportional to 904,965 and 1,787,088 is: 3,529,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,965 : 1,787,088 = 1,787,088 : x
  2. Step 2: Convert to fraction form
    904,965/1,787,088 = 1,787,088/x
  3. Step 3: Cross multiply
    904,965x = 1,787,088 × 1,787,088
  4. Step 4: Simplify right side
    904,965x = 3,193,683,519,744
  5. Step 5: Solve for x
    x = 3,193,683,519,744/904,965
  6. Step 6: Final answer
    x = 3,529,068.55

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.