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Finding the Third Proportional to 802,324 and 1,762,104

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Solution

The third proportional to 802,324 and 1,762,104 is: 3,870,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,324 : 1,762,104 = 1,762,104 : x
  2. Step 2: Convert to fraction form
    802,324/1,762,104 = 1,762,104/x
  3. Step 3: Cross multiply
    802,324x = 1,762,104 × 1,762,104
  4. Step 4: Simplify right side
    802,324x = 3,105,010,506,816
  5. Step 5: Solve for x
    x = 3,105,010,506,816/802,324
  6. Step 6: Final answer
    x = 3,870,020.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.