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Finding the Third Proportional to 476,457.19 and 1,047,380.63

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Solution

The third proportional to 476,457.19 and 1,047,380.63 is: 2,302,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,457.19 : 1,047,380.63 = 1,047,380.63 : x
  2. Step 2: Convert to fraction form
    476,457.19/1,047,380.63 = 1,047,380.63/x
  3. Step 3: Cross multiply
    476,457.19x = 1,047,380.63 × 1,047,380.63
  4. Step 4: Simplify right side
    476,457.19x = 1,097,006,173,625.39
  5. Step 5: Solve for x
    x = 1,097,006,173,625.39/476,457.19
  6. Step 6: Final answer
    x = 2,302,423.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.