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Finding the Third Proportional to 524,847,494 and 1,127,583,772

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Solution

The third proportional to 524,847,494 and 1,127,583,772 is: 2,422,504,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,494 : 1,127,583,772 = 1,127,583,772 : x
  2. Step 2: Convert to fraction form
    524,847,494/1,127,583,772 = 1,127,583,772/x
  3. Step 3: Cross multiply
    524,847,494x = 1,127,583,772 × 1,127,583,772
  4. Step 4: Simplify right side
    524,847,494x = 1,271,445,162,877,747,968
  5. Step 5: Solve for x
    x = 1,271,445,162,877,747,968/524,847,494
  6. Step 6: Final answer
    x = 2,422,504,017.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.