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Finding the Third Proportional to 528,449,320 and 1,105,082,624

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Solution

The third proportional to 528,449,320 and 1,105,082,624 is: 2,310,926,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,449,320 : 1,105,082,624 = 1,105,082,624 : x
  2. Step 2: Convert to fraction form
    528,449,320/1,105,082,624 = 1,105,082,624/x
  3. Step 3: Cross multiply
    528,449,320x = 1,105,082,624 × 1,105,082,624
  4. Step 4: Simplify right side
    528,449,320x = 1,221,207,605,866,725,376
  5. Step 5: Solve for x
    x = 1,221,207,605,866,725,376/528,449,320
  6. Step 6: Final answer
    x = 2,310,926,629.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.