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Finding the Third Proportional to 808,651,742 and 1,182,651,159

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Solution

The third proportional to 808,651,742 and 1,182,651,159 is: 1,729,624,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,651,742 : 1,182,651,159 = 1,182,651,159 : x
  2. Step 2: Convert to fraction form
    808,651,742/1,182,651,159 = 1,182,651,159/x
  3. Step 3: Cross multiply
    808,651,742x = 1,182,651,159 × 1,182,651,159
  4. Step 4: Simplify right side
    808,651,742x = 1,398,663,763,884,043,264
  5. Step 5: Solve for x
    x = 1,398,663,763,884,043,264/808,651,742
  6. Step 6: Final answer
    x = 1,729,624,375.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.