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Finding the Third Proportional to 572,089 and 1,232,775

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Solution

The third proportional to 572,089 and 1,232,775 is: 2,656,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,089 : 1,232,775 = 1,232,775 : x
  2. Step 2: Convert to fraction form
    572,089/1,232,775 = 1,232,775/x
  3. Step 3: Cross multiply
    572,089x = 1,232,775 × 1,232,775
  4. Step 4: Simplify right side
    572,089x = 1,519,734,200,625
  5. Step 5: Solve for x
    x = 1,519,734,200,625/572,089
  6. Step 6: Final answer
    x = 2,656,464.64

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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.