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Finding the Third Proportional to 618,762,024 and 894,837,780

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Solution

The third proportional to 618,762,024 and 894,837,780 is: 1,294,091,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,762,024 : 894,837,780 = 894,837,780 : x
  2. Step 2: Convert to fraction form
    618,762,024/894,837,780 = 894,837,780/x
  3. Step 3: Cross multiply
    618,762,024x = 894,837,780 × 894,837,780
  4. Step 4: Simplify right side
    618,762,024x = 800,734,652,515,328,384
  5. Step 5: Solve for x
    x = 800,734,652,515,328,384/618,762,024
  6. Step 6: Final answer
    x = 1,294,091,462.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.