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Finding the Third Proportional to 1,767,961.69 and 3,817,636.31

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Solution

The third proportional to 1,767,961.69 and 3,817,636.31 is: 8,243,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,961.69 : 3,817,636.31 = 3,817,636.31 : x
  2. Step 2: Convert to fraction form
    1,767,961.69/3,817,636.31 = 3,817,636.31/x
  3. Step 3: Cross multiply
    1,767,961.69x = 3,817,636.31 × 3,817,636.31
  4. Step 4: Simplify right side
    1,767,961.69x = 14,574,347,014,518.60
  5. Step 5: Solve for x
    x = 14,574,347,014,518.60/1,767,961.69
  6. Step 6: Final answer
    x = 8,243,587.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.