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Finding the Third Proportional to 528,049 and 1,135,709

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Solution

The third proportional to 528,049 and 1,135,709 is: 2,442,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,049 : 1,135,709 = 1,135,709 : x
  2. Step 2: Convert to fraction form
    528,049/1,135,709 = 1,135,709/x
  3. Step 3: Cross multiply
    528,049x = 1,135,709 × 1,135,709
  4. Step 4: Simplify right side
    528,049x = 1,289,834,932,681
  5. Step 5: Solve for x
    x = 1,289,834,932,681/528,049
  6. Step 6: Final answer
    x = 2,442,642.51

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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.