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Finding the Third Proportional to 524,646,987 and 1,121,935,314

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Solution

The third proportional to 524,646,987 and 1,121,935,314 is: 2,399,211,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,646,987 : 1,121,935,314 = 1,121,935,314 : x
  2. Step 2: Convert to fraction form
    524,646,987/1,121,935,314 = 1,121,935,314/x
  3. Step 3: Cross multiply
    524,646,987x = 1,121,935,314 × 1,121,935,314
  4. Step 4: Simplify right side
    524,646,987x = 1,258,738,848,800,278,528
  5. Step 5: Solve for x
    x = 1,258,738,848,800,278,528/524,646,987
  6. Step 6: Final answer
    x = 2,399,211,050.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.