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Finding the Third Proportional to 619,827 and 957,079.50

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Solution

The third proportional to 619,827 and 957,079.50 is: 1,477,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,827 : 957,079.50 = 957,079.50 : x
  2. Step 2: Convert to fraction form
    619,827/957,079.50 = 957,079.50/x
  3. Step 3: Cross multiply
    619,827x = 957,079.50 × 957,079.50
  4. Step 4: Simplify right side
    619,827x = 916,001,169,320.25
  5. Step 5: Solve for x
    x = 916,001,169,320.25/619,827
  6. Step 6: Final answer
    x = 1,477,833.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.