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Finding the Third Proportional to 760,734.75 and 1,606,352.25

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Solution

The third proportional to 760,734.75 and 1,606,352.25 is: 3,391,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,734.75 : 1,606,352.25 = 1,606,352.25 : x
  2. Step 2: Convert to fraction form
    760,734.75/1,606,352.25 = 1,606,352.25/x
  3. Step 3: Cross multiply
    760,734.75x = 1,606,352.25 × 1,606,352.25
  4. Step 4: Simplify right side
    760,734.75x = 2,580,367,551,080.06
  5. Step 5: Solve for x
    x = 2,580,367,551,080.06/760,734.75
  6. Step 6: Final answer
    x = 3,391,941.21

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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.