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Finding the Third Proportional to 1,431,440.63 and 2,962,526.63

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Solution

The third proportional to 1,431,440.63 and 2,962,526.63 is: 6,131,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,440.63 : 2,962,526.63 = 2,962,526.63 : x
  2. Step 2: Convert to fraction form
    1,431,440.63/2,962,526.63 = 2,962,526.63/x
  3. Step 3: Cross multiply
    1,431,440.63x = 2,962,526.63 × 2,962,526.63
  4. Step 4: Simplify right side
    1,431,440.63x = 8,776,564,003,833.89
  5. Step 5: Solve for x
    x = 8,776,564,003,833.89/1,431,440.63
  6. Step 6: Final answer
    x = 6,131,280.51

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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.