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Finding the Third Proportional to 656,657.50 and 1,437,870.50

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Solution

The third proportional to 656,657.50 and 1,437,870.50 is: 3,148,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,657.50 : 1,437,870.50 = 1,437,870.50 : x
  2. Step 2: Convert to fraction form
    656,657.50/1,437,870.50 = 1,437,870.50/x
  3. Step 3: Cross multiply
    656,657.50x = 1,437,870.50 × 1,437,870.50
  4. Step 4: Simplify right side
    656,657.50x = 2,067,471,574,770.25
  5. Step 5: Solve for x
    x = 2,067,471,574,770.25/656,657.50
  6. Step 6: Final answer
    x = 3,148,477.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.