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Finding the Third Proportional to 759,621 and 1,664,175

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Solution

The third proportional to 759,621 and 1,664,175 is: 3,645,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,621 : 1,664,175 = 1,664,175 : x
  2. Step 2: Convert to fraction form
    759,621/1,664,175 = 1,664,175/x
  3. Step 3: Cross multiply
    759,621x = 1,664,175 × 1,664,175
  4. Step 4: Simplify right side
    759,621x = 2,769,478,430,625
  5. Step 5: Solve for x
    x = 2,769,478,430,625/759,621
  6. Step 6: Final answer
    x = 3,645,868.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.