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Finding the Third Proportional to 489,516,759 and 759,090,450

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Solution

The third proportional to 489,516,759 and 759,090,450 is: 1,177,116,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,516,759 : 759,090,450 = 759,090,450 : x
  2. Step 2: Convert to fraction form
    489,516,759/759,090,450 = 759,090,450/x
  3. Step 3: Cross multiply
    489,516,759x = 759,090,450 × 759,090,450
  4. Step 4: Simplify right side
    489,516,759x = 576,218,311,281,202,496
  5. Step 5: Solve for x
    x = 576,218,311,281,202,496/489,516,759
  6. Step 6: Final answer
    x = 1,177,116,616.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.