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Finding the Third Proportional to 828,842.63 and 1,238,145.75

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Solution

The third proportional to 828,842.63 and 1,238,145.75 is: 1,849,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,842.63 : 1,238,145.75 = 1,238,145.75 : x
  2. Step 2: Convert to fraction form
    828,842.63/1,238,145.75 = 1,238,145.75/x
  3. Step 3: Cross multiply
    828,842.63x = 1,238,145.75 × 1,238,145.75
  4. Step 4: Simplify right side
    828,842.63x = 1,533,004,898,243.06
  5. Step 5: Solve for x
    x = 1,533,004,898,243.06/828,842.63
  6. Step 6: Final answer
    x = 1,849,572.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.