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Finding the Third Proportional to 683,364 and 1,041,894

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Solution

The third proportional to 683,364 and 1,041,894 is: 1,588,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,364 : 1,041,894 = 1,041,894 : x
  2. Step 2: Convert to fraction form
    683,364/1,041,894 = 1,041,894/x
  3. Step 3: Cross multiply
    683,364x = 1,041,894 × 1,041,894
  4. Step 4: Simplify right side
    683,364x = 1,085,543,107,236
  5. Step 5: Solve for x
    x = 1,085,543,107,236/683,364
  6. Step 6: Final answer
    x = 1,588,528.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.