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Finding the Third Proportional to 475,971.19 and 1,018,366.17

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Solution

The third proportional to 475,971.19 and 1,018,366.17 is: 2,178,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,971.19 : 1,018,366.17 = 1,018,366.17 : x
  2. Step 2: Convert to fraction form
    475,971.19/1,018,366.17 = 1,018,366.17/x
  3. Step 3: Cross multiply
    475,971.19x = 1,018,366.17 × 1,018,366.17
  4. Step 4: Simplify right side
    475,971.19x = 1,037,069,660,019.34
  5. Step 5: Solve for x
    x = 1,037,069,660,019.34/475,971.19
  6. Step 6: Final answer
    x = 2,178,849.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.