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Finding the Third Proportional to 630,342 and 1,383,075

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Solution

The third proportional to 630,342 and 1,383,075 is: 3,034,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,342 : 1,383,075 = 1,383,075 : x
  2. Step 2: Convert to fraction form
    630,342/1,383,075 = 1,383,075/x
  3. Step 3: Cross multiply
    630,342x = 1,383,075 × 1,383,075
  4. Step 4: Simplify right side
    630,342x = 1,912,896,455,625
  5. Step 5: Solve for x
    x = 1,912,896,455,625/630,342
  6. Step 6: Final answer
    x = 3,034,696.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.