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Finding the Third Proportional to 2,907,438 and 6,392,457

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Solution

The third proportional to 2,907,438 and 6,392,457 is: 14,054,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,438 : 6,392,457 = 6,392,457 : x
  2. Step 2: Convert to fraction form
    2,907,438/6,392,457 = 6,392,457/x
  3. Step 3: Cross multiply
    2,907,438x = 6,392,457 × 6,392,457
  4. Step 4: Simplify right side
    2,907,438x = 40,863,506,496,849
  5. Step 5: Solve for x
    x = 40,863,506,496,849/2,907,438
  6. Step 6: Final answer
    x = 14,054,816.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.