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Finding the Third Proportional to 824,412.94 and 1,816,547.77

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Solution

The third proportional to 824,412.94 and 1,816,547.77 is: 4,002,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,412.94 : 1,816,547.77 = 1,816,547.77 : x
  2. Step 2: Convert to fraction form
    824,412.94/1,816,547.77 = 1,816,547.77/x
  3. Step 3: Cross multiply
    824,412.94x = 1,816,547.77 × 1,816,547.77
  4. Step 4: Simplify right side
    824,412.94x = 3,299,845,784,797.18
  5. Step 5: Solve for x
    x = 3,299,845,784,797.18/824,412.94
  6. Step 6: Final answer
    x = 4,002,661.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.