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Finding the Third Proportional to 448,756 and 968,863

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Solution

The third proportional to 448,756 and 968,863 is: 2,091,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,756 : 968,863 = 968,863 : x
  2. Step 2: Convert to fraction form
    448,756/968,863 = 968,863/x
  3. Step 3: Cross multiply
    448,756x = 968,863 × 968,863
  4. Step 4: Simplify right side
    448,756x = 938,695,512,769
  5. Step 5: Solve for x
    x = 938,695,512,769/448,756
  6. Step 6: Final answer
    x = 2,091,772.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.