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Finding the Third Proportional to 446,953.50 and 970,101

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Solution

The third proportional to 446,953.50 and 970,101 is: 2,105,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,953.50 : 970,101 = 970,101 : x
  2. Step 2: Convert to fraction form
    446,953.50/970,101 = 970,101/x
  3. Step 3: Cross multiply
    446,953.50x = 970,101 × 970,101
  4. Step 4: Simplify right side
    446,953.50x = 941,095,950,201
  5. Step 5: Solve for x
    x = 941,095,950,201/446,953.50
  6. Step 6: Final answer
    x = 2,105,579.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.