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Finding the Third Proportional to 459,395,562 and 706,123,971.75

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Solution

The third proportional to 459,395,562 and 706,123,971.75 is: 1,085,363,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,562 : 706,123,971.75 = 706,123,971.75 : x
  2. Step 2: Convert to fraction form
    459,395,562/706,123,971.75 = 706,123,971.75/x
  3. Step 3: Cross multiply
    459,395,562x = 706,123,971.75 × 706,123,971.75
  4. Step 4: Simplify right side
    459,395,562x = 498,611,063,479,994,816
  5. Step 5: Solve for x
    x = 498,611,063,479,994,816/459,395,562
  6. Step 6: Final answer
    x = 1,085,363,257.12

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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.