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Finding the Third Proportional to 2,693,213 and 4,287,511

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Solution

The third proportional to 2,693,213 and 4,287,511 is: 6,825,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,213 : 4,287,511 = 4,287,511 : x
  2. Step 2: Convert to fraction form
    2,693,213/4,287,511 = 4,287,511/x
  3. Step 3: Cross multiply
    2,693,213x = 4,287,511 × 4,287,511
  4. Step 4: Simplify right side
    2,693,213x = 18,382,750,575,121
  5. Step 5: Solve for x
    x = 18,382,750,575,121/2,693,213
  6. Step 6: Final answer
    x = 6,825,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.