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Finding the Third Proportional to 653,630.77 and 1,410,506.16

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Solution

The third proportional to 653,630.77 and 1,410,506.16 is: 3,043,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,630.77 : 1,410,506.16 = 1,410,506.16 : x
  2. Step 2: Convert to fraction form
    653,630.77/1,410,506.16 = 1,410,506.16/x
  3. Step 3: Cross multiply
    653,630.77x = 1,410,506.16 × 1,410,506.16
  4. Step 4: Simplify right side
    653,630.77x = 1,989,527,616,819.15
  5. Step 5: Solve for x
    x = 1,989,527,616,819.15/653,630.77
  6. Step 6: Final answer
    x = 3,043,809.63

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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.