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Finding the Third Proportional to 506,763 and 1,092,078

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Solution

The third proportional to 506,763 and 1,092,078 is: 2,353,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,763 : 1,092,078 = 1,092,078 : x
  2. Step 2: Convert to fraction form
    506,763/1,092,078 = 1,092,078/x
  3. Step 3: Cross multiply
    506,763x = 1,092,078 × 1,092,078
  4. Step 4: Simplify right side
    506,763x = 1,192,634,358,084
  5. Step 5: Solve for x
    x = 1,192,634,358,084/506,763
  6. Step 6: Final answer
    x = 2,353,436.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.