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Finding the Third Proportional to 842,886 and 1,825,740

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Solution

The third proportional to 842,886 and 1,825,740 is: 3,954,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,886 : 1,825,740 = 1,825,740 : x
  2. Step 2: Convert to fraction form
    842,886/1,825,740 = 1,825,740/x
  3. Step 3: Cross multiply
    842,886x = 1,825,740 × 1,825,740
  4. Step 4: Simplify right side
    842,886x = 3,333,326,547,600
  5. Step 5: Solve for x
    x = 3,333,326,547,600/842,886
  6. Step 6: Final answer
    x = 3,954,658.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.