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Finding the Third Proportional to 1,431,534.94 and 3,114,951.19

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Solution

The third proportional to 1,431,534.94 and 3,114,951.19 is: 6,777,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,534.94 : 3,114,951.19 = 3,114,951.19 : x
  2. Step 2: Convert to fraction form
    1,431,534.94/3,114,951.19 = 3,114,951.19/x
  3. Step 3: Cross multiply
    1,431,534.94x = 3,114,951.19 × 3,114,951.19
  4. Step 4: Simplify right side
    1,431,534.94x = 9,702,920,900,507.66
  5. Step 5: Solve for x
    x = 9,702,920,900,507.66/1,431,534.94
  6. Step 6: Final answer
    x = 6,777,984.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.