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Finding the Third Proportional to 980,502 and 2,134,627.50

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Solution

The third proportional to 980,502 and 2,134,627.50 is: 4,647,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,502 : 2,134,627.50 = 2,134,627.50 : x
  2. Step 2: Convert to fraction form
    980,502/2,134,627.50 = 2,134,627.50/x
  3. Step 3: Cross multiply
    980,502x = 2,134,627.50 × 2,134,627.50
  4. Step 4: Simplify right side
    980,502x = 4,556,634,563,756.25
  5. Step 5: Solve for x
    x = 4,556,634,563,756.25/980,502
  6. Step 6: Final answer
    x = 4,647,246.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.