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Finding the Third Proportional to 857,148 and 1,866,684

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Solution

The third proportional to 857,148 and 1,866,684 is: 4,065,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,148 : 1,866,684 = 1,866,684 : x
  2. Step 2: Convert to fraction form
    857,148/1,866,684 = 1,866,684/x
  3. Step 3: Cross multiply
    857,148x = 1,866,684 × 1,866,684
  4. Step 4: Simplify right side
    857,148x = 3,484,509,155,856
  5. Step 5: Solve for x
    x = 3,484,509,155,856/857,148
  6. Step 6: Final answer
    x = 4,065,236.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.