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Finding the Third Proportional to 459,395,076 and 706,123,164

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Solution

The third proportional to 459,395,076 and 706,123,164 is: 1,085,361,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,076 : 706,123,164 = 706,123,164 : x
  2. Step 2: Convert to fraction form
    459,395,076/706,123,164 = 706,123,164/x
  3. Step 3: Cross multiply
    459,395,076x = 706,123,164 × 706,123,164
  4. Step 4: Simplify right side
    459,395,076x = 498,609,922,737,370,880
  5. Step 5: Solve for x
    x = 498,609,922,737,370,880/459,395,076
  6. Step 6: Final answer
    x = 1,085,361,922.20

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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.