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Finding the Third Proportional to 1,109,670 and 1,676,169

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Solution

The third proportional to 1,109,670 and 1,676,169 is: 2,531,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,670 : 1,676,169 = 1,676,169 : x
  2. Step 2: Convert to fraction form
    1,109,670/1,676,169 = 1,676,169/x
  3. Step 3: Cross multiply
    1,109,670x = 1,676,169 × 1,676,169
  4. Step 4: Simplify right side
    1,109,670x = 2,809,542,516,561
  5. Step 5: Solve for x
    x = 2,809,542,516,561/1,109,670
  6. Step 6: Final answer
    x = 2,531,872.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.