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Finding the Third Proportional to 1,706,584 and 3,656,059

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Solution

The third proportional to 1,706,584 and 3,656,059 is: 7,832,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,584 : 3,656,059 = 3,656,059 : x
  2. Step 2: Convert to fraction form
    1,706,584/3,656,059 = 3,656,059/x
  3. Step 3: Cross multiply
    1,706,584x = 3,656,059 × 3,656,059
  4. Step 4: Simplify right side
    1,706,584x = 13,366,767,411,481
  5. Step 5: Solve for x
    x = 13,366,767,411,481/1,706,584
  6. Step 6: Final answer
    x = 7,832,469.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.