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Finding the Third Proportional to 1,680,169 and 2,582,461.50

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Solution

The third proportional to 1,680,169 and 2,582,461.50 is: 3,969,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,169 : 2,582,461.50 = 2,582,461.50 : x
  2. Step 2: Convert to fraction form
    1,680,169/2,582,461.50 = 2,582,461.50/x
  3. Step 3: Cross multiply
    1,680,169x = 2,582,461.50 × 2,582,461.50
  4. Step 4: Simplify right side
    1,680,169x = 6,669,107,398,982.25
  5. Step 5: Solve for x
    x = 6,669,107,398,982.25/1,680,169
  6. Step 6: Final answer
    x = 3,969,307.49

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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.