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Finding the Third Proportional to 724,462,983 and 1,129,741,209

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Solution

The third proportional to 724,462,983 and 1,129,741,209 is: 1,761,739,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,983 : 1,129,741,209 = 1,129,741,209 : x
  2. Step 2: Convert to fraction form
    724,462,983/1,129,741,209 = 1,129,741,209/x
  3. Step 3: Cross multiply
    724,462,983x = 1,129,741,209 × 1,129,741,209
  4. Step 4: Simplify right side
    724,462,983x = 1,276,315,199,312,781,568
  5. Step 5: Solve for x
    x = 1,276,315,199,312,781,568/724,462,983
  6. Step 6: Final answer
    x = 1,761,739,701.35

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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.