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Finding the Third Proportional to 754,221,444 and 1,163,615,576

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Solution

The third proportional to 754,221,444 and 1,163,615,576 is: 1,795,230,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,221,444 : 1,163,615,576 = 1,163,615,576 : x
  2. Step 2: Convert to fraction form
    754,221,444/1,163,615,576 = 1,163,615,576/x
  3. Step 3: Cross multiply
    754,221,444x = 1,163,615,576 × 1,163,615,576
  4. Step 4: Simplify right side
    754,221,444x = 1,354,001,208,709,811,712
  5. Step 5: Solve for x
    x = 1,354,001,208,709,811,712/754,221,444
  6. Step 6: Final answer
    x = 1,795,230,325.90

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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.