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Finding the Third Proportional to 691,273 and 1,437,726.50

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Solution

The third proportional to 691,273 and 1,437,726.50 is: 2,990,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,273 : 1,437,726.50 = 1,437,726.50 : x
  2. Step 2: Convert to fraction form
    691,273/1,437,726.50 = 1,437,726.50/x
  3. Step 3: Cross multiply
    691,273x = 1,437,726.50 × 1,437,726.50
  4. Step 4: Simplify right side
    691,273x = 2,067,057,488,802.25
  5. Step 5: Solve for x
    x = 2,067,057,488,802.25/691,273
  6. Step 6: Final answer
    x = 2,990,218.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.