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Finding the Third Proportional to 737,702 and 1,139,313

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Solution

The third proportional to 737,702 and 1,139,313 is: 1,759,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,702 : 1,139,313 = 1,139,313 : x
  2. Step 2: Convert to fraction form
    737,702/1,139,313 = 1,139,313/x
  3. Step 3: Cross multiply
    737,702x = 1,139,313 × 1,139,313
  4. Step 4: Simplify right side
    737,702x = 1,298,034,111,969
  5. Step 5: Solve for x
    x = 1,298,034,111,969/737,702
  6. Step 6: Final answer
    x = 1,759,564.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.