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Finding the Third Proportional to 1,663,743 and 3,406,339.50

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Solution

The third proportional to 1,663,743 and 3,406,339.50 is: 6,974,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,743 : 3,406,339.50 = 3,406,339.50 : x
  2. Step 2: Convert to fraction form
    1,663,743/3,406,339.50 = 3,406,339.50/x
  3. Step 3: Cross multiply
    1,663,743x = 3,406,339.50 × 3,406,339.50
  4. Step 4: Simplify right side
    1,663,743x = 11,603,148,789,260.25
  5. Step 5: Solve for x
    x = 11,603,148,789,260.25/1,663,743
  6. Step 6: Final answer
    x = 6,974,123.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.