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Finding the Third Proportional to 528,047 and 1,135,704

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Solution

The third proportional to 528,047 and 1,135,704 is: 2,442,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,047 : 1,135,704 = 1,135,704 : x
  2. Step 2: Convert to fraction form
    528,047/1,135,704 = 1,135,704/x
  3. Step 3: Cross multiply
    528,047x = 1,135,704 × 1,135,704
  4. Step 4: Simplify right side
    528,047x = 1,289,823,575,616
  5. Step 5: Solve for x
    x = 1,289,823,575,616/528,047
  6. Step 6: Final answer
    x = 2,442,630.25

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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.