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Finding the Third Proportional to 294,447,586 and 619,355,708

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Solution

The third proportional to 294,447,586 and 619,355,708 is: 1,302,783,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447,586 : 619,355,708 = 619,355,708 : x
  2. Step 2: Convert to fraction form
    294,447,586/619,355,708 = 619,355,708/x
  3. Step 3: Cross multiply
    294,447,586x = 619,355,708 × 619,355,708
  4. Step 4: Simplify right side
    294,447,586x = 383,601,493,032,181,248
  5. Step 5: Solve for x
    x = 383,601,493,032,181,248/294,447,586
  6. Step 6: Final answer
    x = 1,302,783,623.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.