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Finding the Third Proportional to 761,928 and 1,139,154

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Solution

The third proportional to 761,928 and 1,139,154 is: 1,703,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,928 : 1,139,154 = 1,139,154 : x
  2. Step 2: Convert to fraction form
    761,928/1,139,154 = 1,139,154/x
  3. Step 3: Cross multiply
    761,928x = 1,139,154 × 1,139,154
  4. Step 4: Simplify right side
    761,928x = 1,297,671,835,716
  5. Step 5: Solve for x
    x = 1,297,671,835,716/761,928
  6. Step 6: Final answer
    x = 1,703,142.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.