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Finding the Third Proportional to 465,696 and 1,018,566

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Solution

The third proportional to 465,696 and 1,018,566 is: 2,227,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696 : 1,018,566 = 1,018,566 : x
  2. Step 2: Convert to fraction form
    465,696/1,018,566 = 1,018,566/x
  3. Step 3: Cross multiply
    465,696x = 1,018,566 × 1,018,566
  4. Step 4: Simplify right side
    465,696x = 1,037,476,696,356
  5. Step 5: Solve for x
    x = 1,037,476,696,356/465,696
  6. Step 6: Final answer
    x = 2,227,798.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.