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Finding the Third Proportional to 1,018,966 and 2,159,306

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Solution

The third proportional to 1,018,966 and 2,159,306 is: 4,575,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,966 : 2,159,306 = 2,159,306 : x
  2. Step 2: Convert to fraction form
    1,018,966/2,159,306 = 2,159,306/x
  3. Step 3: Cross multiply
    1,018,966x = 2,159,306 × 2,159,306
  4. Step 4: Simplify right side
    1,018,966x = 4,662,602,401,636
  5. Step 5: Solve for x
    x = 4,662,602,401,636/1,018,966
  6. Step 6: Final answer
    x = 4,575,817.45

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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.