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Finding the Third Proportional to 868,418 and 1,830,148

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Solution

The third proportional to 868,418 and 1,830,148 is: 3,856,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,418 : 1,830,148 = 1,830,148 : x
  2. Step 2: Convert to fraction form
    868,418/1,830,148 = 1,830,148/x
  3. Step 3: Cross multiply
    868,418x = 1,830,148 × 1,830,148
  4. Step 4: Simplify right side
    868,418x = 3,349,441,701,904
  5. Step 5: Solve for x
    x = 3,349,441,701,904/868,418
  6. Step 6: Final answer
    x = 3,856,946.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.