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Finding the Third Proportional to 4,616,937 and 6,899,565

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Solution

The third proportional to 4,616,937 and 6,899,565 is: 10,310,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,937 : 6,899,565 = 6,899,565 : x
  2. Step 2: Convert to fraction form
    4,616,937/6,899,565 = 6,899,565/x
  3. Step 3: Cross multiply
    4,616,937x = 6,899,565 × 6,899,565
  4. Step 4: Simplify right side
    4,616,937x = 47,603,997,189,225
  5. Step 5: Solve for x
    x = 47,603,997,189,225/4,616,937
  6. Step 6: Final answer
    x = 10,310,731.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.