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Finding the Third Proportional to 724,462,767 and 1,129,740,831

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Solution

The third proportional to 724,462,767 and 1,129,740,831 is: 1,761,739,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,767 : 1,129,740,831 = 1,129,740,831 : x
  2. Step 2: Convert to fraction form
    724,462,767/1,129,740,831 = 1,129,740,831/x
  3. Step 3: Cross multiply
    724,462,767x = 1,129,740,831 × 1,129,740,831
  4. Step 4: Simplify right side
    724,462,767x = 1,276,314,345,228,570,624
  5. Step 5: Solve for x
    x = 1,276,314,345,228,570,624/724,462,767
  6. Step 6: Final answer
    x = 1,761,739,047.70

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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.