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Finding the Third Proportional to 595,938 and 1,303,282

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Solution

The third proportional to 595,938 and 1,303,282 is: 2,850,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,938 : 1,303,282 = 1,303,282 : x
  2. Step 2: Convert to fraction form
    595,938/1,303,282 = 1,303,282/x
  3. Step 3: Cross multiply
    595,938x = 1,303,282 × 1,303,282
  4. Step 4: Simplify right side
    595,938x = 1,698,543,971,524
  5. Step 5: Solve for x
    x = 1,698,543,971,524/595,938
  6. Step 6: Final answer
    x = 2,850,202.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.