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Finding the Third Proportional to 1,053,202.50 and 2,266,384.50

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Solution

The third proportional to 1,053,202.50 and 2,266,384.50 is: 4,877,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,202.50 : 2,266,384.50 = 2,266,384.50 : x
  2. Step 2: Convert to fraction form
    1,053,202.50/2,266,384.50 = 2,266,384.50/x
  3. Step 3: Cross multiply
    1,053,202.50x = 2,266,384.50 × 2,266,384.50
  4. Step 4: Simplify right side
    1,053,202.50x = 5,136,498,701,840.25
  5. Step 5: Solve for x
    x = 5,136,498,701,840.25/1,053,202.50
  6. Step 6: Final answer
    x = 4,877,028.59

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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.