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Finding the Third Proportional to 1,698,993 and 2,573,194.50

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Solution

The third proportional to 1,698,993 and 2,573,194.50 is: 3,897,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,993 : 2,573,194.50 = 2,573,194.50 : x
  2. Step 2: Convert to fraction form
    1,698,993/2,573,194.50 = 2,573,194.50/x
  3. Step 3: Cross multiply
    1,698,993x = 2,573,194.50 × 2,573,194.50
  4. Step 4: Simplify right side
    1,698,993x = 6,621,329,934,830.25
  5. Step 5: Solve for x
    x = 6,621,329,934,830.25/1,698,993
  6. Step 6: Final answer
    x = 3,897,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.