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Finding the Third Proportional to 931,938 and 2,038,323

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Solution

The third proportional to 931,938 and 2,038,323 is: 4,458,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,938 : 2,038,323 = 2,038,323 : x
  2. Step 2: Convert to fraction form
    931,938/2,038,323 = 2,038,323/x
  3. Step 3: Cross multiply
    931,938x = 2,038,323 × 2,038,323
  4. Step 4: Simplify right side
    931,938x = 4,154,760,652,329
  5. Step 5: Solve for x
    x = 4,154,760,652,329/931,938
  6. Step 6: Final answer
    x = 4,458,194.27

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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.