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Finding the Third Proportional to 449,655.19 and 931,021.31

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Solution

The third proportional to 449,655.19 and 931,021.31 is: 1,927,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,655.19 : 931,021.31 = 931,021.31 : x
  2. Step 2: Convert to fraction form
    449,655.19/931,021.31 = 931,021.31/x
  3. Step 3: Cross multiply
    449,655.19x = 931,021.31 × 931,021.31
  4. Step 4: Simplify right side
    449,655.19x = 866,800,684,329.22
  5. Step 5: Solve for x
    x = 866,800,684,329.22/449,655.19
  6. Step 6: Final answer
    x = 1,927,700.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.