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Finding the Third Proportional to 508,777 and 1,117,426

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Solution

The third proportional to 508,777 and 1,117,426 is: 2,454,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,777 : 1,117,426 = 1,117,426 : x
  2. Step 2: Convert to fraction form
    508,777/1,117,426 = 1,117,426/x
  3. Step 3: Cross multiply
    508,777x = 1,117,426 × 1,117,426
  4. Step 4: Simplify right side
    508,777x = 1,248,640,865,476
  5. Step 5: Solve for x
    x = 1,248,640,865,476/508,777
  6. Step 6: Final answer
    x = 2,454,200.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.