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Finding the Third Proportional to 658,970.44 and 1,414,510.59

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Solution

The third proportional to 658,970.44 and 1,414,510.59 is: 3,036,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,970.44 : 1,414,510.59 = 1,414,510.59 : x
  2. Step 2: Convert to fraction form
    658,970.44/1,414,510.59 = 1,414,510.59/x
  3. Step 3: Cross multiply
    658,970.44x = 1,414,510.59 × 1,414,510.59
  4. Step 4: Simplify right side
    658,970.44x = 2,000,840,219,830.98
  5. Step 5: Solve for x
    x = 2,000,840,219,830.98/658,970.44
  6. Step 6: Final answer
    x = 3,036,312.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.