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Finding the Third Proportional to 1,029,420 and 1,485,075

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Solution

The third proportional to 1,029,420 and 1,485,075 is: 2,142,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,420 : 1,485,075 = 1,485,075 : x
  2. Step 2: Convert to fraction form
    1,029,420/1,485,075 = 1,485,075/x
  3. Step 3: Cross multiply
    1,029,420x = 1,485,075 × 1,485,075
  4. Step 4: Simplify right side
    1,029,420x = 2,205,447,755,625
  5. Step 5: Solve for x
    x = 2,205,447,755,625/1,029,420
  6. Step 6: Final answer
    x = 2,142,417.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.