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Finding the Third Proportional to 603,854,289 and 1,320,767,487

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Solution

The third proportional to 603,854,289 and 1,320,767,487 is: 2,888,820,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,854,289 : 1,320,767,487 = 1,320,767,487 : x
  2. Step 2: Convert to fraction form
    603,854,289/1,320,767,487 = 1,320,767,487/x
  3. Step 3: Cross multiply
    603,854,289x = 1,320,767,487 × 1,320,767,487
  4. Step 4: Simplify right side
    603,854,289x = 1,744,426,754,716,295,168
  5. Step 5: Solve for x
    x = 1,744,426,754,716,295,168/603,854,289
  6. Step 6: Final answer
    x = 2,888,820,674.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.