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Finding the Third Proportional to 754,221,552 and 1,163,615,736

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Solution

The third proportional to 754,221,552 and 1,163,615,736 is: 1,795,230,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,221,552 : 1,163,615,736 = 1,163,615,736 : x
  2. Step 2: Convert to fraction form
    754,221,552/1,163,615,736 = 1,163,615,736/x
  3. Step 3: Cross multiply
    754,221,552x = 1,163,615,736 × 1,163,615,736
  4. Step 4: Simplify right side
    754,221,552x = 1,354,001,581,066,821,632
  5. Step 5: Solve for x
    x = 1,354,001,581,066,821,632/754,221,552
  6. Step 6: Final answer
    x = 1,795,230,562.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.