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Finding the Third Proportional to 1,312,121 and 1,961,350

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Solution

The third proportional to 1,312,121 and 1,961,350 is: 2,931,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,121 : 1,961,350 = 1,961,350 : x
  2. Step 2: Convert to fraction form
    1,312,121/1,961,350 = 1,961,350/x
  3. Step 3: Cross multiply
    1,312,121x = 1,961,350 × 1,961,350
  4. Step 4: Simplify right side
    1,312,121x = 3,846,893,822,500
  5. Step 5: Solve for x
    x = 3,846,893,822,500/1,312,121
  6. Step 6: Final answer
    x = 2,931,813.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.