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Finding the Third Proportional to 811,938 and 1,736,502

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Solution

The third proportional to 811,938 and 1,736,502 is: 3,713,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,938 : 1,736,502 = 1,736,502 : x
  2. Step 2: Convert to fraction form
    811,938/1,736,502 = 1,736,502/x
  3. Step 3: Cross multiply
    811,938x = 1,736,502 × 1,736,502
  4. Step 4: Simplify right side
    811,938x = 3,015,439,196,004
  5. Step 5: Solve for x
    x = 3,015,439,196,004/811,938
  6. Step 6: Final answer
    x = 3,713,878.64

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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.