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Finding the Third Proportional to 816,006 and 1,266,633

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Solution

The third proportional to 816,006 and 1,266,633 is: 1,966,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,006 : 1,266,633 = 1,266,633 : x
  2. Step 2: Convert to fraction form
    816,006/1,266,633 = 1,266,633/x
  3. Step 3: Cross multiply
    816,006x = 1,266,633 × 1,266,633
  4. Step 4: Simplify right side
    816,006x = 1,604,359,156,689
  5. Step 5: Solve for x
    x = 1,604,359,156,689/816,006
  6. Step 6: Final answer
    x = 1,966,111.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.