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Finding the Third Proportional to 1,722,283 and 2,835,921

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Solution

The third proportional to 1,722,283 and 2,835,921 is: 4,669,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,283 : 2,835,921 = 2,835,921 : x
  2. Step 2: Convert to fraction form
    1,722,283/2,835,921 = 2,835,921/x
  3. Step 3: Cross multiply
    1,722,283x = 2,835,921 × 2,835,921
  4. Step 4: Simplify right side
    1,722,283x = 8,042,447,918,241
  5. Step 5: Solve for x
    x = 8,042,447,918,241/1,722,283
  6. Step 6: Final answer
    x = 4,669,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.