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Finding the Third Proportional to 437,029 and 950,968

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Solution

The third proportional to 437,029 and 950,968 is: 2,069,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,029 : 950,968 = 950,968 : x
  2. Step 2: Convert to fraction form
    437,029/950,968 = 950,968/x
  3. Step 3: Cross multiply
    437,029x = 950,968 × 950,968
  4. Step 4: Simplify right side
    437,029x = 904,340,137,024
  5. Step 5: Solve for x
    x = 904,340,137,024/437,029
  6. Step 6: Final answer
    x = 2,069,290.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.