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Finding the Third Proportional to 610,519 and 1,326,075

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Solution

The third proportional to 610,519 and 1,326,075 is: 2,880,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,519 : 1,326,075 = 1,326,075 : x
  2. Step 2: Convert to fraction form
    610,519/1,326,075 = 1,326,075/x
  3. Step 3: Cross multiply
    610,519x = 1,326,075 × 1,326,075
  4. Step 4: Simplify right side
    610,519x = 1,758,474,905,625
  5. Step 5: Solve for x
    x = 1,758,474,905,625/610,519
  6. Step 6: Final answer
    x = 2,880,295.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.