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Finding the Third Proportional to 1,289,557 and 2,683,774

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Solution

The third proportional to 1,289,557 and 2,683,774 is: 5,585,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,557 : 2,683,774 = 2,683,774 : x
  2. Step 2: Convert to fraction form
    1,289,557/2,683,774 = 2,683,774/x
  3. Step 3: Cross multiply
    1,289,557x = 2,683,774 × 2,683,774
  4. Step 4: Simplify right side
    1,289,557x = 7,202,642,883,076
  5. Step 5: Solve for x
    x = 7,202,642,883,076/1,289,557
  6. Step 6: Final answer
    x = 5,585,362.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.