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Finding the Third Proportional to 884,823.75 and 1,353,024

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Solution

The third proportional to 884,823.75 and 1,353,024 is: 2,068,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,823.75 : 1,353,024 = 1,353,024 : x
  2. Step 2: Convert to fraction form
    884,823.75/1,353,024 = 1,353,024/x
  3. Step 3: Cross multiply
    884,823.75x = 1,353,024 × 1,353,024
  4. Step 4: Simplify right side
    884,823.75x = 1,830,673,944,576
  5. Step 5: Solve for x
    x = 1,830,673,944,576/884,823.75
  6. Step 6: Final answer
    x = 2,068,970.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.