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Finding the Third Proportional to 964,773 and 1,418,255

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Solution

The third proportional to 964,773 and 1,418,255 is: 2,084,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,773 : 1,418,255 = 1,418,255 : x
  2. Step 2: Convert to fraction form
    964,773/1,418,255 = 1,418,255/x
  3. Step 3: Cross multiply
    964,773x = 1,418,255 × 1,418,255
  4. Step 4: Simplify right side
    964,773x = 2,011,447,245,025
  5. Step 5: Solve for x
    x = 2,011,447,245,025/964,773
  6. Step 6: Final answer
    x = 2,084,891.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.