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Finding the Third Proportional to 1,142,612,573 and 1,609,050,288

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Solution

The third proportional to 1,142,612,573 and 1,609,050,288 is: 2,265,897,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,612,573 : 1,609,050,288 = 1,609,050,288 : x
  2. Step 2: Convert to fraction form
    1,142,612,573/1,609,050,288 = 1,609,050,288/x
  3. Step 3: Cross multiply
    1,142,612,573x = 1,609,050,288 × 1,609,050,288
  4. Step 4: Simplify right side
    1,142,612,573x = 2,589,042,829,312,882,688
  5. Step 5: Solve for x
    x = 2,589,042,829,312,882,688/1,142,612,573
  6. Step 6: Final answer
    x = 2,265,897,374.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.