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Finding the Third Proportional to 524,958,365 and 1,124,794,785

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Solution

The third proportional to 524,958,365 and 1,124,794,785 is: 2,410,025,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,958,365 : 1,124,794,785 = 1,124,794,785 : x
  2. Step 2: Convert to fraction form
    524,958,365/1,124,794,785 = 1,124,794,785/x
  3. Step 3: Cross multiply
    524,958,365x = 1,124,794,785 × 1,124,794,785
  4. Step 4: Simplify right side
    524,958,365x = 1,265,163,308,363,196,160
  5. Step 5: Solve for x
    x = 1,265,163,308,363,196,160/524,958,365
  6. Step 6: Final answer
    x = 2,410,025,999.61

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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.