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Finding the Third Proportional to 846,426.94 and 1,830,908.81

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Solution

The third proportional to 846,426.94 and 1,830,908.81 is: 3,960,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,426.94 : 1,830,908.81 = 1,830,908.81 : x
  2. Step 2: Convert to fraction form
    846,426.94/1,830,908.81 = 1,830,908.81/x
  3. Step 3: Cross multiply
    846,426.94x = 1,830,908.81 × 1,830,908.81
  4. Step 4: Simplify right side
    846,426.94x = 3,352,227,079,690.16
  5. Step 5: Solve for x
    x = 3,352,227,079,690.16/846,426.94
  6. Step 6: Final answer
    x = 3,960,444.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.