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Finding the Third Proportional to 294,447,584 and 619,355,704

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Solution

The third proportional to 294,447,584 and 619,355,704 is: 1,302,783,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447,584 : 619,355,704 = 619,355,704 : x
  2. Step 2: Convert to fraction form
    294,447,584/619,355,704 = 619,355,704/x
  3. Step 3: Cross multiply
    294,447,584x = 619,355,704 × 619,355,704
  4. Step 4: Simplify right side
    294,447,584x = 383,601,488,077,335,616
  5. Step 5: Solve for x
    x = 383,601,488,077,335,616/294,447,584
  6. Step 6: Final answer
    x = 1,302,783,615.56

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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.