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Finding the Third Proportional to 2,097,101 and 4,586,701

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Solution

The third proportional to 2,097,101 and 4,586,701 is: 10,031,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,101 : 4,586,701 = 4,586,701 : x
  2. Step 2: Convert to fraction form
    2,097,101/4,586,701 = 4,586,701/x
  3. Step 3: Cross multiply
    2,097,101x = 4,586,701 × 4,586,701
  4. Step 4: Simplify right side
    2,097,101x = 21,037,826,063,401
  5. Step 5: Solve for x
    x = 21,037,826,063,401/2,097,101
  6. Step 6: Final answer
    x = 10,031,861.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.