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Finding the Third Proportional to 889,106 and 1,946,854

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Solution

The third proportional to 889,106 and 1,946,854 is: 4,262,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,106 : 1,946,854 = 1,946,854 : x
  2. Step 2: Convert to fraction form
    889,106/1,946,854 = 1,946,854/x
  3. Step 3: Cross multiply
    889,106x = 1,946,854 × 1,946,854
  4. Step 4: Simplify right side
    889,106x = 3,790,240,497,316
  5. Step 5: Solve for x
    x = 3,790,240,497,316/889,106
  6. Step 6: Final answer
    x = 4,262,979.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.