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Finding the Third Proportional to 528,071 and 1,121,588

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Solution

The third proportional to 528,071 and 1,121,588 is: 2,382,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,071 : 1,121,588 = 1,121,588 : x
  2. Step 2: Convert to fraction form
    528,071/1,121,588 = 1,121,588/x
  3. Step 3: Cross multiply
    528,071x = 1,121,588 × 1,121,588
  4. Step 4: Simplify right side
    528,071x = 1,257,959,641,744
  5. Step 5: Solve for x
    x = 1,257,959,641,744/528,071
  6. Step 6: Final answer
    x = 2,382,178.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.