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Finding the Third Proportional to 649,348 and 998,646

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Solution

The third proportional to 649,348 and 998,646 is: 1,535,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,348 : 998,646 = 998,646 : x
  2. Step 2: Convert to fraction form
    649,348/998,646 = 998,646/x
  3. Step 3: Cross multiply
    649,348x = 998,646 × 998,646
  4. Step 4: Simplify right side
    649,348x = 997,293,833,316
  5. Step 5: Solve for x
    x = 997,293,833,316/649,348
  6. Step 6: Final answer
    x = 1,535,838.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.