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Finding the Third Proportional to 677,336 and 1,447,984

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Solution

The third proportional to 677,336 and 1,447,984 is: 3,095,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,336 : 1,447,984 = 1,447,984 : x
  2. Step 2: Convert to fraction form
    677,336/1,447,984 = 1,447,984/x
  3. Step 3: Cross multiply
    677,336x = 1,447,984 × 1,447,984
  4. Step 4: Simplify right side
    677,336x = 2,096,657,664,256
  5. Step 5: Solve for x
    x = 2,096,657,664,256/677,336
  6. Step 6: Final answer
    x = 3,095,446.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.