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Finding the Third Proportional to 613,312 and 931,038

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Solution

The third proportional to 613,312 and 931,038 is: 1,413,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,312 : 931,038 = 931,038 : x
  2. Step 2: Convert to fraction form
    613,312/931,038 = 931,038/x
  3. Step 3: Cross multiply
    613,312x = 931,038 × 931,038
  4. Step 4: Simplify right side
    613,312x = 866,831,757,444
  5. Step 5: Solve for x
    x = 866,831,757,444/613,312
  6. Step 6: Final answer
    x = 1,413,361.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.