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Finding the Third Proportional to 824,402 and 1,808,212

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Solution

The third proportional to 824,402 and 1,808,212 is: 3,966,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,402 : 1,808,212 = 1,808,212 : x
  2. Step 2: Convert to fraction form
    824,402/1,808,212 = 1,808,212/x
  3. Step 3: Cross multiply
    824,402x = 1,808,212 × 1,808,212
  4. Step 4: Simplify right side
    824,402x = 3,269,630,636,944
  5. Step 5: Solve for x
    x = 3,269,630,636,944/824,402
  6. Step 6: Final answer
    x = 3,966,063.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.