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Finding the Third Proportional to 453,037,664 and 699,584,788

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Solution

The third proportional to 453,037,664 and 699,584,788 is: 1,080,305,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,037,664 : 699,584,788 = 699,584,788 : x
  2. Step 2: Convert to fraction form
    453,037,664/699,584,788 = 699,584,788/x
  3. Step 3: Cross multiply
    453,037,664x = 699,584,788 × 699,584,788
  4. Step 4: Simplify right side
    453,037,664x = 489,418,875,601,004,928
  5. Step 5: Solve for x
    x = 489,418,875,601,004,928/453,037,664
  6. Step 6: Final answer
    x = 1,080,305,048.55

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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.