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Finding the Third Proportional to 769,017,140 and 1,191,523,620

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Solution

The third proportional to 769,017,140 and 1,191,523,620 is: 1,846,159,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,017,140 : 1,191,523,620 = 1,191,523,620 : x
  2. Step 2: Convert to fraction form
    769,017,140/1,191,523,620 = 1,191,523,620/x
  3. Step 3: Cross multiply
    769,017,140x = 1,191,523,620 × 1,191,523,620
  4. Step 4: Simplify right side
    769,017,140x = 1,419,728,537,017,904,384
  5. Step 5: Solve for x
    x = 1,419,728,537,017,904,384/769,017,140
  6. Step 6: Final answer
    x = 1,846,159,809.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.