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Finding the Third Proportional to 702,837,239 and 1,028,383,837.50

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Solution

The third proportional to 702,837,239 and 1,028,383,837.50 is: 1,504,720,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,837,239 : 1,028,383,837.50 = 1,028,383,837.50 : x
  2. Step 2: Convert to fraction form
    702,837,239/1,028,383,837.50 = 1,028,383,837.50/x
  3. Step 3: Cross multiply
    702,837,239x = 1,028,383,837.50 × 1,028,383,837.50
  4. Step 4: Simplify right side
    702,837,239x = 1,057,573,317,231,226,368
  5. Step 5: Solve for x
    x = 1,057,573,317,231,226,368/702,837,239
  6. Step 6: Final answer
    x = 1,504,720,095.28

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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.