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Finding the Third Proportional to 2,660,075.44 and 4,212,784.69

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Solution

The third proportional to 2,660,075.44 and 4,212,784.69 is: 6,671,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,075.44 : 4,212,784.69 = 4,212,784.69 : x
  2. Step 2: Convert to fraction form
    2,660,075.44/4,212,784.69 = 4,212,784.69/x
  3. Step 3: Cross multiply
    2,660,075.44x = 4,212,784.69 × 4,212,784.69
  4. Step 4: Simplify right side
    2,660,075.44x = 17,747,554,823,234.47
  5. Step 5: Solve for x
    x = 17,747,554,823,234.47/2,660,075.44
  6. Step 6: Final answer
    x = 6,671,823.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.