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Finding the Third Proportional to 1,724,468.06 and 3,627,581.63

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Solution

The third proportional to 1,724,468.06 and 3,627,581.63 is: 7,630,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,468.06 : 3,627,581.63 = 3,627,581.63 : x
  2. Step 2: Convert to fraction form
    1,724,468.06/3,627,581.63 = 3,627,581.63/x
  3. Step 3: Cross multiply
    1,724,468.06x = 3,627,581.63 × 3,627,581.63
  4. Step 4: Simplify right side
    1,724,468.06x = 13,159,348,446,037.64
  5. Step 5: Solve for x
    x = 13,159,348,446,037.64/1,724,468.06
  6. Step 6: Final answer
    x = 7,630,960.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.