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Finding the Third Proportional to 1,769,364 and 3,838,347

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Solution

The third proportional to 1,769,364 and 3,838,347 is: 8,326,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,364 : 3,838,347 = 3,838,347 : x
  2. Step 2: Convert to fraction form
    1,769,364/3,838,347 = 3,838,347/x
  3. Step 3: Cross multiply
    1,769,364x = 3,838,347 × 3,838,347
  4. Step 4: Simplify right side
    1,769,364x = 14,732,907,692,409
  5. Step 5: Solve for x
    x = 14,732,907,692,409/1,769,364
  6. Step 6: Final answer
    x = 8,326,668.62

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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.