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Finding the Third Proportional to 4,102,420 and 6,368,658

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Solution

The third proportional to 4,102,420 and 6,368,658 is: 9,886,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,420 : 6,368,658 = 6,368,658 : x
  2. Step 2: Convert to fraction form
    4,102,420/6,368,658 = 6,368,658/x
  3. Step 3: Cross multiply
    4,102,420x = 6,368,658 × 6,368,658
  4. Step 4: Simplify right side
    4,102,420x = 40,559,804,720,964
  5. Step 5: Solve for x
    x = 40,559,804,720,964/4,102,420
  6. Step 6: Final answer
    x = 9,886,799.67

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