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Finding the Third Proportional to 493,328 and 1,063,448

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Solution

The third proportional to 493,328 and 1,063,448 is: 2,292,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,328 : 1,063,448 = 1,063,448 : x
  2. Step 2: Convert to fraction form
    493,328/1,063,448 = 1,063,448/x
  3. Step 3: Cross multiply
    493,328x = 1,063,448 × 1,063,448
  4. Step 4: Simplify right side
    493,328x = 1,130,921,648,704
  5. Step 5: Solve for x
    x = 1,130,921,648,704/493,328
  6. Step 6: Final answer
    x = 2,292,433.53

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