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Finding the Third Proportional to 1,416,782.25 and 3,057,453

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Solution

The third proportional to 1,416,782.25 and 3,057,453 is: 6,598,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,782.25 : 3,057,453 = 3,057,453 : x
  2. Step 2: Convert to fraction form
    1,416,782.25/3,057,453 = 3,057,453/x
  3. Step 3: Cross multiply
    1,416,782.25x = 3,057,453 × 3,057,453
  4. Step 4: Simplify right side
    1,416,782.25x = 9,348,018,847,209
  5. Step 5: Solve for x
    x = 9,348,018,847,209/1,416,782.25
  6. Step 6: Final answer
    x = 6,598,063.21

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Why These Related Problems?

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