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Finding the Third Proportional to 724,189 and 1,095,602.50

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Solution

The third proportional to 724,189 and 1,095,602.50 is: 1,657,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,189 : 1,095,602.50 = 1,095,602.50 : x
  2. Step 2: Convert to fraction form
    724,189/1,095,602.50 = 1,095,602.50/x
  3. Step 3: Cross multiply
    724,189x = 1,095,602.50 × 1,095,602.50
  4. Step 4: Simplify right side
    724,189x = 1,200,344,838,006.25
  5. Step 5: Solve for x
    x = 1,200,344,838,006.25/724,189
  6. Step 6: Final answer
    x = 1,657,502.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.