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Finding the Third Proportional to 724,462,823 and 1,129,740,929

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Solution

The third proportional to 724,462,823 and 1,129,740,929 is: 1,761,739,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,823 : 1,129,740,929 = 1,129,740,929 : x
  2. Step 2: Convert to fraction form
    724,462,823/1,129,740,929 = 1,129,740,929/x
  3. Step 3: Cross multiply
    724,462,823x = 1,129,740,929 × 1,129,740,929
  4. Step 4: Simplify right side
    724,462,823x = 1,276,314,566,657,783,040
  5. Step 5: Solve for x
    x = 1,276,314,566,657,783,040/724,462,823
  6. Step 6: Final answer
    x = 1,761,739,217.17

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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.