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Finding the Third Proportional to 492,491 and 1,060,312

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Solution

The third proportional to 492,491 and 1,060,312 is: 2,282,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,491 : 1,060,312 = 1,060,312 : x
  2. Step 2: Convert to fraction form
    492,491/1,060,312 = 1,060,312/x
  3. Step 3: Cross multiply
    492,491x = 1,060,312 × 1,060,312
  4. Step 4: Simplify right side
    492,491x = 1,124,261,537,344
  5. Step 5: Solve for x
    x = 1,124,261,537,344/492,491
  6. Step 6: Final answer
    x = 2,282,806.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.