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Finding the Third Proportional to 4,095,666 and 6,359,301

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Solution

The third proportional to 4,095,666 and 6,359,301 is: 9,874,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095,666 : 6,359,301 = 6,359,301 : x
  2. Step 2: Convert to fraction form
    4,095,666/6,359,301 = 6,359,301/x
  3. Step 3: Cross multiply
    4,095,666x = 6,359,301 × 6,359,301
  4. Step 4: Simplify right side
    4,095,666x = 40,440,709,208,601
  5. Step 5: Solve for x
    x = 40,440,709,208,601/4,095,666
  6. Step 6: Final answer
    x = 9,874,025.18

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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.