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Finding the Third Proportional to 492,296 and 1,075,712

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Solution

The third proportional to 492,296 and 1,075,712 is: 2,350,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,296 : 1,075,712 = 1,075,712 : x
  2. Step 2: Convert to fraction form
    492,296/1,075,712 = 1,075,712/x
  3. Step 3: Cross multiply
    492,296x = 1,075,712 × 1,075,712
  4. Step 4: Simplify right side
    492,296x = 1,157,156,306,944
  5. Step 5: Solve for x
    x = 1,157,156,306,944/492,296
  6. Step 6: Final answer
    x = 2,350,529.57

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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.