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Finding the Third Proportional to 726,388 and 1,127,362

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Solution

The third proportional to 726,388 and 1,127,362 is: 1,749,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,388 : 1,127,362 = 1,127,362 : x
  2. Step 2: Convert to fraction form
    726,388/1,127,362 = 1,127,362/x
  3. Step 3: Cross multiply
    726,388x = 1,127,362 × 1,127,362
  4. Step 4: Simplify right side
    726,388x = 1,270,945,079,044
  5. Step 5: Solve for x
    x = 1,270,945,079,044/726,388
  6. Step 6: Final answer
    x = 1,749,677.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.