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Finding the Third Proportional to 1,014,172.50 and 1,569,555

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Solution

The third proportional to 1,014,172.50 and 1,569,555 is: 2,429,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,172.50 : 1,569,555 = 1,569,555 : x
  2. Step 2: Convert to fraction form
    1,014,172.50/1,569,555 = 1,569,555/x
  3. Step 3: Cross multiply
    1,014,172.50x = 1,569,555 × 1,569,555
  4. Step 4: Simplify right side
    1,014,172.50x = 2,463,502,898,025
  5. Step 5: Solve for x
    x = 2,463,502,898,025/1,014,172.50
  6. Step 6: Final answer
    x = 2,429,076.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.