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Finding the Third Proportional to 611,905 and 1,346,134

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Solution

The third proportional to 611,905 and 1,346,134 is: 2,961,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,905 : 1,346,134 = 1,346,134 : x
  2. Step 2: Convert to fraction form
    611,905/1,346,134 = 1,346,134/x
  3. Step 3: Cross multiply
    611,905x = 1,346,134 × 1,346,134
  4. Step 4: Simplify right side
    611,905x = 1,812,076,745,956
  5. Step 5: Solve for x
    x = 1,812,076,745,956/611,905
  6. Step 6: Final answer
    x = 2,961,369.41

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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.