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Finding the Third Proportional to 1,200,050 and 1,688,019

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Solution

The third proportional to 1,200,050 and 1,688,019 is: 2,374,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,050 : 1,688,019 = 1,688,019 : x
  2. Step 2: Convert to fraction form
    1,200,050/1,688,019 = 1,688,019/x
  3. Step 3: Cross multiply
    1,200,050x = 1,688,019 × 1,688,019
  4. Step 4: Simplify right side
    1,200,050x = 2,849,408,144,361
  5. Step 5: Solve for x
    x = 2,849,408,144,361/1,200,050
  6. Step 6: Final answer
    x = 2,374,407.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.