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Finding the Third Proportional to 1,289,136 and 2,809,362

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Solution

The third proportional to 1,289,136 and 2,809,362 is: 6,122,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,136 : 2,809,362 = 2,809,362 : x
  2. Step 2: Convert to fraction form
    1,289,136/2,809,362 = 2,809,362/x
  3. Step 3: Cross multiply
    1,289,136x = 2,809,362 × 2,809,362
  4. Step 4: Simplify right side
    1,289,136x = 7,892,514,847,044
  5. Step 5: Solve for x
    x = 7,892,514,847,044/1,289,136
  6. Step 6: Final answer
    x = 6,122,329.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.