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Finding the Third Proportional to 444,269 and 974,998

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Solution

The third proportional to 444,269 and 974,998 is: 2,139,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,269 : 974,998 = 974,998 : x
  2. Step 2: Convert to fraction form
    444,269/974,998 = 974,998/x
  3. Step 3: Cross multiply
    444,269x = 974,998 × 974,998
  4. Step 4: Simplify right side
    444,269x = 950,621,100,004
  5. Step 5: Solve for x
    x = 950,621,100,004/444,269
  6. Step 6: Final answer
    x = 2,139,742.14

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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.