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Finding the Third Proportional to 528,206 and 1,138,541

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Solution

The third proportional to 528,206 and 1,138,541 is: 2,454,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,206 : 1,138,541 = 1,138,541 : x
  2. Step 2: Convert to fraction form
    528,206/1,138,541 = 1,138,541/x
  3. Step 3: Cross multiply
    528,206x = 1,138,541 × 1,138,541
  4. Step 4: Simplify right side
    528,206x = 1,296,275,608,681
  5. Step 5: Solve for x
    x = 1,296,275,608,681/528,206
  6. Step 6: Final answer
    x = 2,454,109.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.