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Finding the Third Proportional to 612,523,798 and 941,493,369

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Solution

The third proportional to 612,523,798 and 941,493,369 is: 1,447,143,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,523,798 : 941,493,369 = 941,493,369 : x
  2. Step 2: Convert to fraction form
    612,523,798/941,493,369 = 941,493,369/x
  3. Step 3: Cross multiply
    612,523,798x = 941,493,369 × 941,493,369
  4. Step 4: Simplify right side
    612,523,798x = 886,409,763,870,970,112
  5. Step 5: Solve for x
    x = 886,409,763,870,970,112/612,523,798
  6. Step 6: Final answer
    x = 1,447,143,387.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.