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Finding the Third Proportional to 1,210,810 and 2,569,213

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Solution

The third proportional to 1,210,810 and 2,569,213 is: 5,451,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,810 : 2,569,213 = 2,569,213 : x
  2. Step 2: Convert to fraction form
    1,210,810/2,569,213 = 2,569,213/x
  3. Step 3: Cross multiply
    1,210,810x = 2,569,213 × 2,569,213
  4. Step 4: Simplify right side
    1,210,810x = 6,600,855,439,369
  5. Step 5: Solve for x
    x = 6,600,855,439,369/1,210,810
  6. Step 6: Final answer
    x = 5,451,603.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.