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Finding the Third Proportional to 529,566 and 1,134,942

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Solution

The third proportional to 529,566 and 1,134,942 is: 2,432,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,566 : 1,134,942 = 1,134,942 : x
  2. Step 2: Convert to fraction form
    529,566/1,134,942 = 1,134,942/x
  3. Step 3: Cross multiply
    529,566x = 1,134,942 × 1,134,942
  4. Step 4: Simplify right side
    529,566x = 1,288,093,343,364
  5. Step 5: Solve for x
    x = 1,288,093,343,364/529,566
  6. Step 6: Final answer
    x = 2,432,356.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.