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Finding the Third Proportional to 655,056.75 and 1,425,442.88

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Solution

The third proportional to 655,056.75 and 1,425,442.88 is: 3,101,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,056.75 : 1,425,442.88 = 1,425,442.88 : x
  2. Step 2: Convert to fraction form
    655,056.75/1,425,442.88 = 1,425,442.88/x
  3. Step 3: Cross multiply
    655,056.75x = 1,425,442.88 × 1,425,442.88
  4. Step 4: Simplify right side
    655,056.75x = 2,031,887,389,888.27
  5. Step 5: Solve for x
    x = 2,031,887,389,888.27/655,056.75
  6. Step 6: Final answer
    x = 3,101,849.40

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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.