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Finding the Third Proportional to 702,837,200 and 1,028,383,792

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Solution

The third proportional to 702,837,200 and 1,028,383,792 is: 1,504,720,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,837,200 : 1,028,383,792 = 1,028,383,792 : x
  2. Step 2: Convert to fraction form
    702,837,200/1,028,383,792 = 1,028,383,792/x
  3. Step 3: Cross multiply
    702,837,200x = 1,028,383,792 × 1,028,383,792
  4. Step 4: Simplify right side
    702,837,200x = 1,057,573,223,648,299,264
  5. Step 5: Solve for x
    x = 1,057,573,223,648,299,264/702,837,200
  6. Step 6: Final answer
    x = 1,504,720,045.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.