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Finding the Third Proportional to 916,522 and 1,368,633

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Solution

The third proportional to 916,522 and 1,368,633 is: 2,043,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,522 : 1,368,633 = 1,368,633 : x
  2. Step 2: Convert to fraction form
    916,522/1,368,633 = 1,368,633/x
  3. Step 3: Cross multiply
    916,522x = 1,368,633 × 1,368,633
  4. Step 4: Simplify right side
    916,522x = 1,873,156,288,689
  5. Step 5: Solve for x
    x = 1,873,156,288,689/916,522
  6. Step 6: Final answer
    x = 2,043,765.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.