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Finding the Third Proportional to 4,328,820 and 6,854,208

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Solution

The third proportional to 4,328,820 and 6,854,208 is: 10,852,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,820 : 6,854,208 = 6,854,208 : x
  2. Step 2: Convert to fraction form
    4,328,820/6,854,208 = 6,854,208/x
  3. Step 3: Cross multiply
    4,328,820x = 6,854,208 × 6,854,208
  4. Step 4: Simplify right side
    4,328,820x = 46,980,167,307,264
  5. Step 5: Solve for x
    x = 46,980,167,307,264/4,328,820
  6. Step 6: Final answer
    x = 10,852,880.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.