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Finding the Third Proportional to 645,980 and 1,414,592

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Solution

The third proportional to 645,980 and 1,414,592 is: 3,097,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,980 : 1,414,592 = 1,414,592 : x
  2. Step 2: Convert to fraction form
    645,980/1,414,592 = 1,414,592/x
  3. Step 3: Cross multiply
    645,980x = 1,414,592 × 1,414,592
  4. Step 4: Simplify right side
    645,980x = 2,001,070,526,464
  5. Step 5: Solve for x
    x = 2,001,070,526,464/645,980
  6. Step 6: Final answer
    x = 3,097,728.30

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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.