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Finding the Third Proportional to 819,024 and 1,239,996

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Solution

The third proportional to 819,024 and 1,239,996 is: 1,877,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,024 : 1,239,996 = 1,239,996 : x
  2. Step 2: Convert to fraction form
    819,024/1,239,996 = 1,239,996/x
  3. Step 3: Cross multiply
    819,024x = 1,239,996 × 1,239,996
  4. Step 4: Simplify right side
    819,024x = 1,537,590,080,016
  5. Step 5: Solve for x
    x = 1,537,590,080,016/819,024
  6. Step 6: Final answer
    x = 1,877,344.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.