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Finding the Third Proportional to 983,544,972 and 1,605,870,400

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Solution

The third proportional to 983,544,972 and 1,605,870,400 is: 2,621,964,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,544,972 : 1,605,870,400 = 1,605,870,400 : x
  2. Step 2: Convert to fraction form
    983,544,972/1,605,870,400 = 1,605,870,400/x
  3. Step 3: Cross multiply
    983,544,972x = 1,605,870,400 × 1,605,870,400
  4. Step 4: Simplify right side
    983,544,972x = 2,578,819,741,596,160,000
  5. Step 5: Solve for x
    x = 2,578,819,741,596,160,000/983,544,972
  6. Step 6: Final answer
    x = 2,621,964,236.52

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.