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Finding the Third Proportional to 1,663,886 and 3,406,624

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Solution

The third proportional to 1,663,886 and 3,406,624 is: 6,974,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,886 : 3,406,624 = 3,406,624 : x
  2. Step 2: Convert to fraction form
    1,663,886/3,406,624 = 3,406,624/x
  3. Step 3: Cross multiply
    1,663,886x = 3,406,624 × 3,406,624
  4. Step 4: Simplify right side
    1,663,886x = 11,605,087,077,376
  5. Step 5: Solve for x
    x = 11,605,087,077,376/1,663,886
  6. Step 6: Final answer
    x = 6,974,688.82

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