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Finding the Third Proportional to 856,998 and 1,636,236

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Solution

The third proportional to 856,998 and 1,636,236 is: 3,124,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,998 : 1,636,236 = 1,636,236 : x
  2. Step 2: Convert to fraction form
    856,998/1,636,236 = 1,636,236/x
  3. Step 3: Cross multiply
    856,998x = 1,636,236 × 1,636,236
  4. Step 4: Simplify right side
    856,998x = 2,677,268,247,696
  5. Step 5: Solve for x
    x = 2,677,268,247,696/856,998
  6. Step 6: Final answer
    x = 3,124,007.58

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.