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Finding the Third Proportional to 435,816 and 944,014.50

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Solution

The third proportional to 435,816 and 944,014.50 is: 2,044,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,816 : 944,014.50 = 944,014.50 : x
  2. Step 2: Convert to fraction form
    435,816/944,014.50 = 944,014.50/x
  3. Step 3: Cross multiply
    435,816x = 944,014.50 × 944,014.50
  4. Step 4: Simplify right side
    435,816x = 891,163,376,210.25
  5. Step 5: Solve for x
    x = 891,163,376,210.25/435,816
  6. Step 6: Final answer
    x = 2,044,815.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.