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Finding the Third Proportional to 522,943 and 1,128,830

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Solution

The third proportional to 522,943 and 1,128,830 is: 2,436,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,943 : 1,128,830 = 1,128,830 : x
  2. Step 2: Convert to fraction form
    522,943/1,128,830 = 1,128,830/x
  3. Step 3: Cross multiply
    522,943x = 1,128,830 × 1,128,830
  4. Step 4: Simplify right side
    522,943x = 1,274,257,168,900
  5. Step 5: Solve for x
    x = 1,274,257,168,900/522,943
  6. Step 6: Final answer
    x = 2,436,703.75

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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.