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Finding the Third Proportional to 648,514 and 1,036,018

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Solution

The third proportional to 648,514 and 1,036,018 is: 1,655,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,514 : 1,036,018 = 1,036,018 : x
  2. Step 2: Convert to fraction form
    648,514/1,036,018 = 1,036,018/x
  3. Step 3: Cross multiply
    648,514x = 1,036,018 × 1,036,018
  4. Step 4: Simplify right side
    648,514x = 1,073,333,296,324
  5. Step 5: Solve for x
    x = 1,073,333,296,324/648,514
  6. Step 6: Final answer
    x = 1,655,065.73

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.