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Finding the Third Proportional to 735,959 and 1,559,319

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Solution

The third proportional to 735,959 and 1,559,319 is: 3,303,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,959 : 1,559,319 = 1,559,319 : x
  2. Step 2: Convert to fraction form
    735,959/1,559,319 = 1,559,319/x
  3. Step 3: Cross multiply
    735,959x = 1,559,319 × 1,559,319
  4. Step 4: Simplify right side
    735,959x = 2,431,475,743,761
  5. Step 5: Solve for x
    x = 2,431,475,743,761/735,959
  6. Step 6: Final answer
    x = 3,303,819.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.