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Finding the Third Proportional to 864,384 and 1,798,080

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Solution

The third proportional to 864,384 and 1,798,080 is: 3,740,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,384 : 1,798,080 = 1,798,080 : x
  2. Step 2: Convert to fraction form
    864,384/1,798,080 = 1,798,080/x
  3. Step 3: Cross multiply
    864,384x = 1,798,080 × 1,798,080
  4. Step 4: Simplify right side
    864,384x = 3,233,091,686,400
  5. Step 5: Solve for x
    x = 3,233,091,686,400/864,384
  6. Step 6: Final answer
    x = 3,740,341.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.