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Finding the Third Proportional to 1,097,266.71 and 2,356,318.48

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Solution

The third proportional to 1,097,266.71 and 2,356,318.48 is: 5,060,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,266.71 : 2,356,318.48 = 2,356,318.48 : x
  2. Step 2: Convert to fraction form
    1,097,266.71/2,356,318.48 = 2,356,318.48/x
  3. Step 3: Cross multiply
    1,097,266.71x = 2,356,318.48 × 2,356,318.48
  4. Step 4: Simplify right side
    1,097,266.71x = 5,552,236,762,989.82
  5. Step 5: Solve for x
    x = 5,552,236,762,989.82/1,097,266.71
  6. Step 6: Final answer
    x = 5,060,061.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.