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Finding the Third Proportional to 921,124,404 and 1,317,218,736

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Solution

The third proportional to 921,124,404 and 1,317,218,736 is: 1,883,638,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,124,404 : 1,317,218,736 = 1,317,218,736 : x
  2. Step 2: Convert to fraction form
    921,124,404/1,317,218,736 = 1,317,218,736/x
  3. Step 3: Cross multiply
    921,124,404x = 1,317,218,736 × 1,317,218,736
  4. Step 4: Simplify right side
    921,124,404x = 1,735,065,198,469,437,696
  5. Step 5: Solve for x
    x = 1,735,065,198,469,437,696/921,124,404
  6. Step 6: Final answer
    x = 1,883,638,291.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.