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Finding the Third Proportional to 1,457,964.56 and 1,962,704.25

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Solution

The third proportional to 1,457,964.56 and 1,962,704.25 is: 2,642,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,964.56 : 1,962,704.25 = 1,962,704.25 : x
  2. Step 2: Convert to fraction form
    1,457,964.56/1,962,704.25 = 1,962,704.25/x
  3. Step 3: Cross multiply
    1,457,964.56x = 1,962,704.25 × 1,962,704.25
  4. Step 4: Simplify right side
    1,457,964.56x = 3,852,207,972,968.06
  5. Step 5: Solve for x
    x = 3,852,207,972,968.06/1,457,964.56
  6. Step 6: Final answer
    x = 2,642,182.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.