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Finding the Third Proportional to 655,654 and 1,430,468

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Solution

The third proportional to 655,654 and 1,430,468 is: 3,120,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,654 : 1,430,468 = 1,430,468 : x
  2. Step 2: Convert to fraction form
    655,654/1,430,468 = 1,430,468/x
  3. Step 3: Cross multiply
    655,654x = 1,430,468 × 1,430,468
  4. Step 4: Simplify right side
    655,654x = 2,046,238,699,024
  5. Step 5: Solve for x
    x = 2,046,238,699,024/655,654
  6. Step 6: Final answer
    x = 3,120,912.40

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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.