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Finding the Third Proportional to 692,973,590 and 1,540,885,156

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Solution

The third proportional to 692,973,590 and 1,540,885,156 is: 3,426,287,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,973,590 : 1,540,885,156 = 1,540,885,156 : x
  2. Step 2: Convert to fraction form
    692,973,590/1,540,885,156 = 1,540,885,156/x
  3. Step 3: Cross multiply
    692,973,590x = 1,540,885,156 × 1,540,885,156
  4. Step 4: Simplify right side
    692,973,590x = 2,374,327,063,981,144,576
  5. Step 5: Solve for x
    x = 2,374,327,063,981,144,576/692,973,590
  6. Step 6: Final answer
    x = 3,426,287,954.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.