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Finding the Third Proportional to 459,395,566 and 706,123,977

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Solution

The third proportional to 459,395,566 and 706,123,977 is: 1,085,363,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,566 : 706,123,977 = 706,123,977 : x
  2. Step 2: Convert to fraction form
    459,395,566/706,123,977 = 706,123,977/x
  3. Step 3: Cross multiply
    459,395,566x = 706,123,977 × 706,123,977
  4. Step 4: Simplify right side
    459,395,566x = 498,611,070,894,296,512
  5. Step 5: Solve for x
    x = 498,611,070,894,296,512/459,395,566
  6. Step 6: Final answer
    x = 1,085,363,263.81

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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.