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Finding the Third Proportional to 724,463,826 and 1,129,742,424

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Solution

The third proportional to 724,463,826 and 1,129,742,424 is: 1,761,741,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,826 : 1,129,742,424 = 1,129,742,424 : x
  2. Step 2: Convert to fraction form
    724,463,826/1,129,742,424 = 1,129,742,424/x
  3. Step 3: Cross multiply
    724,463,826x = 1,129,742,424 × 1,129,742,424
  4. Step 4: Simplify right side
    724,463,826x = 1,276,317,944,585,395,712
  5. Step 5: Solve for x
    x = 1,276,317,944,585,395,712/724,463,826
  6. Step 6: Final answer
    x = 1,761,741,440.75

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Why These Related Problems?

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