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Finding the Third Proportional to 753,863 and 1,625,824

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Solution

The third proportional to 753,863 and 1,625,824 is: 3,506,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,863 : 1,625,824 = 1,625,824 : x
  2. Step 2: Convert to fraction form
    753,863/1,625,824 = 1,625,824/x
  3. Step 3: Cross multiply
    753,863x = 1,625,824 × 1,625,824
  4. Step 4: Simplify right side
    753,863x = 2,643,303,678,976
  5. Step 5: Solve for x
    x = 2,643,303,678,976/753,863
  6. Step 6: Final answer
    x = 3,506,344.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.