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Finding the Third Proportional to 4,107,020 and 6,384,534

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Solution

The third proportional to 4,107,020 and 6,384,534 is: 9,925,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,020 : 6,384,534 = 6,384,534 : x
  2. Step 2: Convert to fraction form
    4,107,020/6,384,534 = 6,384,534/x
  3. Step 3: Cross multiply
    4,107,020x = 6,384,534 × 6,384,534
  4. Step 4: Simplify right side
    4,107,020x = 40,762,274,397,156
  5. Step 5: Solve for x
    x = 40,762,274,397,156/4,107,020
  6. Step 6: Final answer
    x = 9,925,024.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.