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Finding the Third Proportional to 3,208,386 and 4,358,457

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Solution

The third proportional to 3,208,386 and 4,358,457 is: 5,920,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,386 : 4,358,457 = 4,358,457 : x
  2. Step 2: Convert to fraction form
    3,208,386/4,358,457 = 4,358,457/x
  3. Step 3: Cross multiply
    3,208,386x = 4,358,457 × 4,358,457
  4. Step 4: Simplify right side
    3,208,386x = 18,996,147,420,849
  5. Step 5: Solve for x
    x = 18,996,147,420,849/3,208,386
  6. Step 6: Final answer
    x = 5,920,779.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.