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Finding the Third Proportional to 1,680,968 and 3,688,312

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Solution

The third proportional to 1,680,968 and 3,688,312 is: 8,092,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,968 : 3,688,312 = 3,688,312 : x
  2. Step 2: Convert to fraction form
    1,680,968/3,688,312 = 3,688,312/x
  3. Step 3: Cross multiply
    1,680,968x = 3,688,312 × 3,688,312
  4. Step 4: Simplify right side
    1,680,968x = 13,603,645,409,344
  5. Step 5: Solve for x
    x = 13,603,645,409,344/1,680,968
  6. Step 6: Final answer
    x = 8,092,745.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.