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Finding the Third Proportional to 484,216 and 1,063,984

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Solution

The third proportional to 484,216 and 1,063,984 is: 2,337,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,216 : 1,063,984 = 1,063,984 : x
  2. Step 2: Convert to fraction form
    484,216/1,063,984 = 1,063,984/x
  3. Step 3: Cross multiply
    484,216x = 1,063,984 × 1,063,984
  4. Step 4: Simplify right side
    484,216x = 1,132,061,952,256
  5. Step 5: Solve for x
    x = 1,132,061,952,256/484,216
  6. Step 6: Final answer
    x = 2,337,927.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.