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Finding the Third Proportional to 978,048 and 2,073,829.50

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Solution

The third proportional to 978,048 and 2,073,829.50 is: 4,397,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048 : 2,073,829.50 = 2,073,829.50 : x
  2. Step 2: Convert to fraction form
    978,048/2,073,829.50 = 2,073,829.50/x
  3. Step 3: Cross multiply
    978,048x = 2,073,829.50 × 2,073,829.50
  4. Step 4: Simplify right side
    978,048x = 4,300,768,795,070.25
  5. Step 5: Solve for x
    x = 4,300,768,795,070.25/978,048
  6. Step 6: Final answer
    x = 4,397,298.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.