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Finding the Third Proportional to 802,309 and 1,762,088

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Solution

The third proportional to 802,309 and 1,762,088 is: 3,870,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,309 : 1,762,088 = 1,762,088 : x
  2. Step 2: Convert to fraction form
    802,309/1,762,088 = 1,762,088/x
  3. Step 3: Cross multiply
    802,309x = 1,762,088 × 1,762,088
  4. Step 4: Simplify right side
    802,309x = 3,104,954,119,744
  5. Step 5: Solve for x
    x = 3,104,954,119,744/802,309
  6. Step 6: Final answer
    x = 3,870,022.80

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Why These Related Problems?

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