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Finding the Third Proportional to 2,495,968 and 4,019,584

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Solution

The third proportional to 2,495,968 and 4,019,584 is: 6,473,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495,968 : 4,019,584 = 4,019,584 : x
  2. Step 2: Convert to fraction form
    2,495,968/4,019,584 = 4,019,584/x
  3. Step 3: Cross multiply
    2,495,968x = 4,019,584 × 4,019,584
  4. Step 4: Simplify right side
    2,495,968x = 16,157,055,533,056
  5. Step 5: Solve for x
    x = 16,157,055,533,056/2,495,968
  6. Step 6: Final answer
    x = 6,473,262.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.