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Finding the Third Proportional to 738,064 and 943,098

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Solution

The third proportional to 738,064 and 943,098 is: 1,205,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,064 : 943,098 = 943,098 : x
  2. Step 2: Convert to fraction form
    738,064/943,098 = 943,098/x
  3. Step 3: Cross multiply
    738,064x = 943,098 × 943,098
  4. Step 4: Simplify right side
    738,064x = 889,433,837,604
  5. Step 5: Solve for x
    x = 889,433,837,604/738,064
  6. Step 6: Final answer
    x = 1,205,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.