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Finding the Third Proportional to 525,043 and 1,145,113

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Solution

The third proportional to 525,043 and 1,145,113 is: 2,497,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,043 : 1,145,113 = 1,145,113 : x
  2. Step 2: Convert to fraction form
    525,043/1,145,113 = 1,145,113/x
  3. Step 3: Cross multiply
    525,043x = 1,145,113 × 1,145,113
  4. Step 4: Simplify right side
    525,043x = 1,311,283,782,769
  5. Step 5: Solve for x
    x = 1,311,283,782,769/525,043
  6. Step 6: Final answer
    x = 2,497,478.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.