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Finding the Third Proportional to 653,346 and 980,019

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Solution

The third proportional to 653,346 and 980,019 is: 1,470,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,346 : 980,019 = 980,019 : x
  2. Step 2: Convert to fraction form
    653,346/980,019 = 980,019/x
  3. Step 3: Cross multiply
    653,346x = 980,019 × 980,019
  4. Step 4: Simplify right side
    653,346x = 960,437,240,361
  5. Step 5: Solve for x
    x = 960,437,240,361/653,346
  6. Step 6: Final answer
    x = 1,470,028.50

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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.