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Finding the Third Proportional to 980,181 and 1,470,271.50

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Solution

The third proportional to 980,181 and 1,470,271.50 is: 2,205,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,181 : 1,470,271.50 = 1,470,271.50 : x
  2. Step 2: Convert to fraction form
    980,181/1,470,271.50 = 1,470,271.50/x
  3. Step 3: Cross multiply
    980,181x = 1,470,271.50 × 1,470,271.50
  4. Step 4: Simplify right side
    980,181x = 2,161,698,283,712.25
  5. Step 5: Solve for x
    x = 2,161,698,283,712.25/980,181
  6. Step 6: Final answer
    x = 2,205,407.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.