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Finding the Third Proportional to 1,735,268.06 and 3,736,985.63

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Solution

The third proportional to 1,735,268.06 and 3,736,985.63 is: 8,047,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,268.06 : 3,736,985.63 = 3,736,985.63 : x
  2. Step 2: Convert to fraction form
    1,735,268.06/3,736,985.63 = 3,736,985.63/x
  3. Step 3: Cross multiply
    1,735,268.06x = 3,736,985.63 × 3,736,985.63
  4. Step 4: Simplify right side
    1,735,268.06x = 13,965,061,561,456.64
  5. Step 5: Solve for x
    x = 13,965,061,561,456.64/1,735,268.06
  6. Step 6: Final answer
    x = 8,047,783.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.