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Finding the Third Proportional to 1,158,909 and 1,703,677.50

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Solution

The third proportional to 1,158,909 and 1,703,677.50 is: 2,504,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,909 : 1,703,677.50 = 1,703,677.50 : x
  2. Step 2: Convert to fraction form
    1,158,909/1,703,677.50 = 1,703,677.50/x
  3. Step 3: Cross multiply
    1,158,909x = 1,703,677.50 × 1,703,677.50
  4. Step 4: Simplify right side
    1,158,909x = 2,902,517,024,006.25
  5. Step 5: Solve for x
    x = 2,902,517,024,006.25/1,158,909
  6. Step 6: Final answer
    x = 2,504,525.40

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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.