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Finding the Third Proportional to 3,478,312 and 4,573,968

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Solution

The third proportional to 3,478,312 and 4,573,968 is: 6,014,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,312 : 4,573,968 = 4,573,968 : x
  2. Step 2: Convert to fraction form
    3,478,312/4,573,968 = 4,573,968/x
  3. Step 3: Cross multiply
    3,478,312x = 4,573,968 × 4,573,968
  4. Step 4: Simplify right side
    3,478,312x = 20,921,183,265,024
  5. Step 5: Solve for x
    x = 20,921,183,265,024/3,478,312
  6. Step 6: Final answer
    x = 6,014,751.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.