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Finding the Third Proportional to 1,687,658 and 3,639,196

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Solution

The third proportional to 1,687,658 and 3,639,196 is: 7,847,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,658 : 3,639,196 = 3,639,196 : x
  2. Step 2: Convert to fraction form
    1,687,658/3,639,196 = 3,639,196/x
  3. Step 3: Cross multiply
    1,687,658x = 3,639,196 × 3,639,196
  4. Step 4: Simplify right side
    1,687,658x = 13,243,747,526,416
  5. Step 5: Solve for x
    x = 13,243,747,526,416/1,687,658
  6. Step 6: Final answer
    x = 7,847,411.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.