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Finding the Third Proportional to 525,478.01 and 1,149,106.18

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Solution

The third proportional to 525,478.01 and 1,149,106.18 is: 2,512,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,478.01 : 1,149,106.18 = 1,149,106.18 : x
  2. Step 2: Convert to fraction form
    525,478.01/1,149,106.18 = 1,149,106.18/x
  3. Step 3: Cross multiply
    525,478.01x = 1,149,106.18 × 1,149,106.18
  4. Step 4: Simplify right side
    525,478.01x = 1,320,445,021,173.51
  5. Step 5: Solve for x
    x = 1,320,445,021,173.51/525,478.01
  6. Step 6: Final answer
    x = 2,512,845.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.