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Finding the Third Proportional to 749,388 and 1,142,736

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Solution

The third proportional to 749,388 and 1,142,736 is: 1,742,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,388 : 1,142,736 = 1,142,736 : x
  2. Step 2: Convert to fraction form
    749,388/1,142,736 = 1,142,736/x
  3. Step 3: Cross multiply
    749,388x = 1,142,736 × 1,142,736
  4. Step 4: Simplify right side
    749,388x = 1,305,845,565,696
  5. Step 5: Solve for x
    x = 1,305,845,565,696/749,388
  6. Step 6: Final answer
    x = 1,742,549.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.