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Finding the Third Proportional to 724,933 and 1,705,628.50

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Solution

The third proportional to 724,933 and 1,705,628.50 is: 4,013,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,933 : 1,705,628.50 = 1,705,628.50 : x
  2. Step 2: Convert to fraction form
    724,933/1,705,628.50 = 1,705,628.50/x
  3. Step 3: Cross multiply
    724,933x = 1,705,628.50 × 1,705,628.50
  4. Step 4: Simplify right side
    724,933x = 2,909,168,580,012.25
  5. Step 5: Solve for x
    x = 2,909,168,580,012.25/724,933
  6. Step 6: Final answer
    x = 4,013,017.18

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.