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Finding the Third Proportional to 976,577.63 and 2,142,247.22

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Solution

The third proportional to 976,577.63 and 2,142,247.22 is: 4,699,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,577.63 : 2,142,247.22 = 2,142,247.22 : x
  2. Step 2: Convert to fraction form
    976,577.63/2,142,247.22 = 2,142,247.22/x
  3. Step 3: Cross multiply
    976,577.63x = 2,142,247.22 × 2,142,247.22
  4. Step 4: Simplify right side
    976,577.63x = 4,589,223,146,242.11
  5. Step 5: Solve for x
    x = 4,589,223,146,242.11/976,577.63
  6. Step 6: Final answer
    x = 4,699,291.72

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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.