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Finding the Third Proportional to 971,077,524 and 1,419,749,297

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Solution

The third proportional to 971,077,524 and 1,419,749,297 is: 2,075,723,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,077,524 : 1,419,749,297 = 1,419,749,297 : x
  2. Step 2: Convert to fraction form
    971,077,524/1,419,749,297 = 1,419,749,297/x
  3. Step 3: Cross multiply
    971,077,524x = 1,419,749,297 × 1,419,749,297
  4. Step 4: Simplify right side
    971,077,524x = 2,015,688,066,331,994,112
  5. Step 5: Solve for x
    x = 2,015,688,066,331,994,112/971,077,524
  6. Step 6: Final answer
    x = 2,075,723,118.41

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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.