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Finding the Third Proportional to 1,370,208 and 2,888,136

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Solution

The third proportional to 1,370,208 and 2,888,136 is: 6,087,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,208 : 2,888,136 = 2,888,136 : x
  2. Step 2: Convert to fraction form
    1,370,208/2,888,136 = 2,888,136/x
  3. Step 3: Cross multiply
    1,370,208x = 2,888,136 × 2,888,136
  4. Step 4: Simplify right side
    1,370,208x = 8,341,329,554,496
  5. Step 5: Solve for x
    x = 8,341,329,554,496/1,370,208
  6. Step 6: Final answer
    x = 6,087,637.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.