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Finding the Third Proportional to 371,280,820 and 786,820,486

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Solution

The third proportional to 371,280,820 and 786,820,486 is: 1,667,434,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,280,820 : 786,820,486 = 786,820,486 : x
  2. Step 2: Convert to fraction form
    371,280,820/786,820,486 = 786,820,486/x
  3. Step 3: Cross multiply
    371,280,820x = 786,820,486 × 786,820,486
  4. Step 4: Simplify right side
    371,280,820x = 619,086,477,189,276,160
  5. Step 5: Solve for x
    x = 619,086,477,189,276,160/371,280,820
  6. Step 6: Final answer
    x = 1,667,434,577.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.