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Finding the Third Proportional to 492,293 and 1,075,706

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Solution

The third proportional to 492,293 and 1,075,706 is: 2,350,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,293 : 1,075,706 = 1,075,706 : x
  2. Step 2: Convert to fraction form
    492,293/1,075,706 = 1,075,706/x
  3. Step 3: Cross multiply
    492,293x = 1,075,706 × 1,075,706
  4. Step 4: Simplify right side
    492,293x = 1,157,143,398,436
  5. Step 5: Solve for x
    x = 1,157,143,398,436/492,293
  6. Step 6: Final answer
    x = 2,350,517.68

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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.