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Finding the Third Proportional to 1,001,580 and 2,122,340

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Solution

The third proportional to 1,001,580 and 2,122,340 is: 4,497,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,580 : 2,122,340 = 2,122,340 : x
  2. Step 2: Convert to fraction form
    1,001,580/2,122,340 = 2,122,340/x
  3. Step 3: Cross multiply
    1,001,580x = 2,122,340 × 2,122,340
  4. Step 4: Simplify right side
    1,001,580x = 4,504,327,075,600
  5. Step 5: Solve for x
    x = 4,504,327,075,600/1,001,580
  6. Step 6: Final answer
    x = 4,497,221.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.