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Finding the Third Proportional to 653,487.75 and 1,415,543.34

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Solution

The third proportional to 653,487.75 and 1,415,543.34 is: 3,066,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,487.75 : 1,415,543.34 = 1,415,543.34 : x
  2. Step 2: Convert to fraction form
    653,487.75/1,415,543.34 = 1,415,543.34/x
  3. Step 3: Cross multiply
    653,487.75x = 1,415,543.34 × 1,415,543.34
  4. Step 4: Simplify right side
    653,487.75x = 2,003,762,958,034.93
  5. Step 5: Solve for x
    x = 2,003,762,958,034.93/653,487.75
  6. Step 6: Final answer
    x = 3,066,259.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.