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Finding the Third Proportional to 677,283 and 1,447,878

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Solution

The third proportional to 677,283 and 1,447,878 is: 3,095,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,283 : 1,447,878 = 1,447,878 : x
  2. Step 2: Convert to fraction form
    677,283/1,447,878 = 1,447,878/x
  3. Step 3: Cross multiply
    677,283x = 1,447,878 × 1,447,878
  4. Step 4: Simplify right side
    677,283x = 2,096,350,702,884
  5. Step 5: Solve for x
    x = 2,096,350,702,884/677,283
  6. Step 6: Final answer
    x = 3,095,235.97

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Why These Related Problems?

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