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Finding the Third Proportional to 724,464,378 and 1,129,743,207

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Solution

The third proportional to 724,464,378 and 1,129,743,207 is: 1,761,742,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,464,378 : 1,129,743,207 = 1,129,743,207 : x
  2. Step 2: Convert to fraction form
    724,464,378/1,129,743,207 = 1,129,743,207/x
  3. Step 3: Cross multiply
    724,464,378x = 1,129,743,207 × 1,129,743,207
  4. Step 4: Simplify right side
    724,464,378x = 1,276,319,713,762,644,736
  5. Step 5: Solve for x
    x = 1,276,319,713,762,644,736/724,464,378
  6. Step 6: Final answer
    x = 1,761,742,540.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.