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Finding the Third Proportional to 730,774,512 and 1,724,496,966

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Solution

The third proportional to 730,774,512 and 1,724,496,966 is: 4,069,503,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,512 : 1,724,496,966 = 1,724,496,966 : x
  2. Step 2: Convert to fraction form
    730,774,512/1,724,496,966 = 1,724,496,966/x
  3. Step 3: Cross multiply
    730,774,512x = 1,724,496,966 × 1,724,496,966
  4. Step 4: Simplify right side
    730,774,512x = 2,973,889,785,743,205,376
  5. Step 5: Solve for x
    x = 2,973,889,785,743,205,376/730,774,512
  6. Step 6: Final answer
    x = 4,069,503,980.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.