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Finding the Third Proportional to 889,764 and 1,919,496

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Solution

The third proportional to 889,764 and 1,919,496 is: 4,140,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,764 : 1,919,496 = 1,919,496 : x
  2. Step 2: Convert to fraction form
    889,764/1,919,496 = 1,919,496/x
  3. Step 3: Cross multiply
    889,764x = 1,919,496 × 1,919,496
  4. Step 4: Simplify right side
    889,764x = 3,684,464,894,016
  5. Step 5: Solve for x
    x = 3,684,464,894,016/889,764
  6. Step 6: Final answer
    x = 4,140,946.24

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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.