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Finding the Third Proportional to 1,271,403 and 1,920,064.50

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Solution

The third proportional to 1,271,403 and 1,920,064.50 is: 2,899,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,403 : 1,920,064.50 = 1,920,064.50 : x
  2. Step 2: Convert to fraction form
    1,271,403/1,920,064.50 = 1,920,064.50/x
  3. Step 3: Cross multiply
    1,271,403x = 1,920,064.50 × 1,920,064.50
  4. Step 4: Simplify right side
    1,271,403x = 3,686,647,684,160.25
  5. Step 5: Solve for x
    x = 3,686,647,684,160.25/1,271,403
  6. Step 6: Final answer
    x = 2,899,668.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.