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Finding the Third Proportional to 946,574 and 2,076,856

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Solution

The third proportional to 946,574 and 2,076,856 is: 4,556,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,574 : 2,076,856 = 2,076,856 : x
  2. Step 2: Convert to fraction form
    946,574/2,076,856 = 2,076,856/x
  3. Step 3: Cross multiply
    946,574x = 2,076,856 × 2,076,856
  4. Step 4: Simplify right side
    946,574x = 4,313,330,844,736
  5. Step 5: Solve for x
    x = 4,313,330,844,736/946,574
  6. Step 6: Final answer
    x = 4,556,781.45

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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.