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Finding the Third Proportional to 445,844 and 974,632

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Solution

The third proportional to 445,844 and 974,632 is: 2,130,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,844 : 974,632 = 974,632 : x
  2. Step 2: Convert to fraction form
    445,844/974,632 = 974,632/x
  3. Step 3: Cross multiply
    445,844x = 974,632 × 974,632
  4. Step 4: Simplify right side
    445,844x = 949,907,535,424
  5. Step 5: Solve for x
    x = 949,907,535,424/445,844
  6. Step 6: Final answer
    x = 2,130,582.75

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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.