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Finding the Third Proportional to 1,416,896 and 2,105,280

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Solution

The third proportional to 1,416,896 and 2,105,280 is: 3,128,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,896 : 2,105,280 = 2,105,280 : x
  2. Step 2: Convert to fraction form
    1,416,896/2,105,280 = 2,105,280/x
  3. Step 3: Cross multiply
    1,416,896x = 2,105,280 × 2,105,280
  4. Step 4: Simplify right side
    1,416,896x = 4,432,203,878,400
  5. Step 5: Solve for x
    x = 4,432,203,878,400/1,416,896
  6. Step 6: Final answer
    x = 3,128,108.12

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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.