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Finding the Third Proportional to 534,490 and 1,113,206

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Solution

The third proportional to 534,490 and 1,113,206 is: 2,318,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,490 : 1,113,206 = 1,113,206 : x
  2. Step 2: Convert to fraction form
    534,490/1,113,206 = 1,113,206/x
  3. Step 3: Cross multiply
    534,490x = 1,113,206 × 1,113,206
  4. Step 4: Simplify right side
    534,490x = 1,239,227,598,436
  5. Step 5: Solve for x
    x = 1,239,227,598,436/534,490
  6. Step 6: Final answer
    x = 2,318,523.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.