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Finding the Third Proportional to 740,430 and 1,539,054

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Solution

The third proportional to 740,430 and 1,539,054 is: 3,199,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,430 : 1,539,054 = 1,539,054 : x
  2. Step 2: Convert to fraction form
    740,430/1,539,054 = 1,539,054/x
  3. Step 3: Cross multiply
    740,430x = 1,539,054 × 1,539,054
  4. Step 4: Simplify right side
    740,430x = 2,368,687,214,916
  5. Step 5: Solve for x
    x = 2,368,687,214,916/740,430
  6. Step 6: Final answer
    x = 3,199,069.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.