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Finding the Third Proportional to 946,572 and 2,076,852

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Solution

The third proportional to 946,572 and 2,076,852 is: 4,556,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,572 : 2,076,852 = 2,076,852 : x
  2. Step 2: Convert to fraction form
    946,572/2,076,852 = 2,076,852/x
  3. Step 3: Cross multiply
    946,572x = 2,076,852 × 2,076,852
  4. Step 4: Simplify right side
    946,572x = 4,313,314,229,904
  5. Step 5: Solve for x
    x = 4,313,314,229,904/946,572
  6. Step 6: Final answer
    x = 4,556,773.53

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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.