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Finding the Third Proportional to 816,435 and 1,287,261

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Solution

The third proportional to 816,435 and 1,287,261 is: 2,029,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,435 : 1,287,261 = 1,287,261 : x
  2. Step 2: Convert to fraction form
    816,435/1,287,261 = 1,287,261/x
  3. Step 3: Cross multiply
    816,435x = 1,287,261 × 1,287,261
  4. Step 4: Simplify right side
    816,435x = 1,657,040,882,121
  5. Step 5: Solve for x
    x = 1,657,040,882,121/816,435
  6. Step 6: Final answer
    x = 2,029,605.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.