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Finding the Third Proportional to 472,864 and 1,050,688

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Solution

The third proportional to 472,864 and 1,050,688 is: 2,334,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,864 : 1,050,688 = 1,050,688 : x
  2. Step 2: Convert to fraction form
    472,864/1,050,688 = 1,050,688/x
  3. Step 3: Cross multiply
    472,864x = 1,050,688 × 1,050,688
  4. Step 4: Simplify right side
    472,864x = 1,103,945,273,344
  5. Step 5: Solve for x
    x = 1,103,945,273,344/472,864
  6. Step 6: Final answer
    x = 2,334,593.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.