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Finding the Third Proportional to 655,146 and 1,389,024

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Solution

The third proportional to 655,146 and 1,389,024 is: 2,944,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,146 : 1,389,024 = 1,389,024 : x
  2. Step 2: Convert to fraction form
    655,146/1,389,024 = 1,389,024/x
  3. Step 3: Cross multiply
    655,146x = 1,389,024 × 1,389,024
  4. Step 4: Simplify right side
    655,146x = 1,929,387,672,576
  5. Step 5: Solve for x
    x = 1,929,387,672,576/655,146
  6. Step 6: Final answer
    x = 2,944,973.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.