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Finding the Third Proportional to 728,582,408 and 1,119,191,754

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Solution

The third proportional to 728,582,408 and 1,119,191,754 is: 1,719,215,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,582,408 : 1,119,191,754 = 1,119,191,754 : x
  2. Step 2: Convert to fraction form
    728,582,408/1,119,191,754 = 1,119,191,754/x
  3. Step 3: Cross multiply
    728,582,408x = 1,119,191,754 × 1,119,191,754
  4. Step 4: Simplify right side
    728,582,408x = 1,252,590,182,221,596,416
  5. Step 5: Solve for x
    x = 1,252,590,182,221,596,416/728,582,408
  6. Step 6: Final answer
    x = 1,719,215,518.34

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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.