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Finding the Third Proportional to 1,585,940 and 3,457,738

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Solution

The third proportional to 1,585,940 and 3,457,738 is: 7,538,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,940 : 3,457,738 = 3,457,738 : x
  2. Step 2: Convert to fraction form
    1,585,940/3,457,738 = 3,457,738/x
  3. Step 3: Cross multiply
    1,585,940x = 3,457,738 × 3,457,738
  4. Step 4: Simplify right side
    1,585,940x = 11,955,952,076,644
  5. Step 5: Solve for x
    x = 11,955,952,076,644/1,585,940
  6. Step 6: Final answer
    x = 7,538,716.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.