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Finding the Third Proportional to 983,743.50 and 1,447,484.25

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Solution

The third proportional to 983,743.50 and 1,447,484.25 is: 2,129,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,743.50 : 1,447,484.25 = 1,447,484.25 : x
  2. Step 2: Convert to fraction form
    983,743.50/1,447,484.25 = 1,447,484.25/x
  3. Step 3: Cross multiply
    983,743.50x = 1,447,484.25 × 1,447,484.25
  4. Step 4: Simplify right side
    983,743.50x = 2,095,210,653,998.06
  5. Step 5: Solve for x
    x = 2,095,210,653,998.06/983,743.50
  6. Step 6: Final answer
    x = 2,129,834.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.