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Finding the Third Proportional to 743,478 and 1,582,860

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Solution

The third proportional to 743,478 and 1,582,860 is: 3,369,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,478 : 1,582,860 = 1,582,860 : x
  2. Step 2: Convert to fraction form
    743,478/1,582,860 = 1,582,860/x
  3. Step 3: Cross multiply
    743,478x = 1,582,860 × 1,582,860
  4. Step 4: Simplify right side
    743,478x = 2,505,445,779,600
  5. Step 5: Solve for x
    x = 2,505,445,779,600/743,478
  6. Step 6: Final answer
    x = 3,369,899.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.