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Finding the Third Proportional to 649,417.50 and 1,018,738.27

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Solution

The third proportional to 649,417.50 and 1,018,738.27 is: 1,598,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,417.50 : 1,018,738.27 = 1,018,738.27 : x
  2. Step 2: Convert to fraction form
    649,417.50/1,018,738.27 = 1,018,738.27/x
  3. Step 3: Cross multiply
    649,417.50x = 1,018,738.27 × 1,018,738.27
  4. Step 4: Simplify right side
    649,417.50x = 1,037,827,653,848.63
  5. Step 5: Solve for x
    x = 1,037,827,653,848.63/649,417.50
  6. Step 6: Final answer
    x = 1,598,090.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.