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Finding the Third Proportional to 1,572,007.78 and 2,224,840.08

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Solution

The third proportional to 1,572,007.78 and 2,224,840.08 is: 3,148,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,007.78 : 2,224,840.08 = 2,224,840.08 : x
  2. Step 2: Convert to fraction form
    1,572,007.78/2,224,840.08 = 2,224,840.08/x
  3. Step 3: Cross multiply
    1,572,007.78x = 2,224,840.08 × 2,224,840.08
  4. Step 4: Simplify right side
    1,572,007.78x = 4,949,913,373,231.26
  5. Step 5: Solve for x
    x = 4,949,913,373,231.26/1,572,007.78
  6. Step 6: Final answer
    x = 3,148,784.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.