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Finding the Third Proportional to 1,536,006 and 2,038,212

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Solution

The third proportional to 1,536,006 and 2,038,212 is: 2,704,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,006 : 2,038,212 = 2,038,212 : x
  2. Step 2: Convert to fraction form
    1,536,006/2,038,212 = 2,038,212/x
  3. Step 3: Cross multiply
    1,536,006x = 2,038,212 × 2,038,212
  4. Step 4: Simplify right side
    1,536,006x = 4,154,308,156,944
  5. Step 5: Solve for x
    x = 4,154,308,156,944/1,536,006
  6. Step 6: Final answer
    x = 2,704,617.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.