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Finding the Third Proportional to 647,472 and 1,409,890.50

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Solution

The third proportional to 647,472 and 1,409,890.50 is: 3,070,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472 : 1,409,890.50 = 1,409,890.50 : x
  2. Step 2: Convert to fraction form
    647,472/1,409,890.50 = 1,409,890.50/x
  3. Step 3: Cross multiply
    647,472x = 1,409,890.50 × 1,409,890.50
  4. Step 4: Simplify right side
    647,472x = 1,987,791,221,990.25
  5. Step 5: Solve for x
    x = 1,987,791,221,990.25/647,472
  6. Step 6: Final answer
    x = 3,070,080.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.