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Finding the Third Proportional to 3,690,570 and 4,968,237

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Solution

The third proportional to 3,690,570 and 4,968,237 is: 6,688,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690,570 : 4,968,237 = 4,968,237 : x
  2. Step 2: Convert to fraction form
    3,690,570/4,968,237 = 4,968,237/x
  3. Step 3: Cross multiply
    3,690,570x = 4,968,237 × 4,968,237
  4. Step 4: Simplify right side
    3,690,570x = 24,683,378,888,169
  5. Step 5: Solve for x
    x = 24,683,378,888,169/3,690,570
  6. Step 6: Final answer
    x = 6,688,229.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.