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Finding the Third Proportional to 1,053,477.14 and 2,266,840.27

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Solution

The third proportional to 1,053,477.14 and 2,266,840.27 is: 4,877,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,477.14 : 2,266,840.27 = 2,266,840.27 : x
  2. Step 2: Convert to fraction form
    1,053,477.14/2,266,840.27 = 2,266,840.27/x
  3. Step 3: Cross multiply
    1,053,477.14x = 2,266,840.27 × 2,266,840.27
  4. Step 4: Simplify right side
    1,053,477.14x = 5,138,564,789,858.82
  5. Step 5: Solve for x
    x = 5,138,564,789,858.82/1,053,477.14
  6. Step 6: Final answer
    x = 4,877,718.36

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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.