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Finding the Third Proportional to 728,582,412 and 1,119,191,760

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Solution

The third proportional to 728,582,412 and 1,119,191,760 is: 1,719,215,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,582,412 : 1,119,191,760 = 1,119,191,760 : x
  2. Step 2: Convert to fraction form
    728,582,412/1,119,191,760 = 1,119,191,760/x
  3. Step 3: Cross multiply
    728,582,412x = 1,119,191,760 × 1,119,191,760
  4. Step 4: Simplify right side
    728,582,412x = 1,252,590,195,651,897,600
  5. Step 5: Solve for x
    x = 1,252,590,195,651,897,600/728,582,412
  6. Step 6: Final answer
    x = 1,719,215,527.33

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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.