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Finding the Third Proportional to 724,462,821 and 1,129,740,925.50

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Solution

The third proportional to 724,462,821 and 1,129,740,925.50 is: 1,761,739,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,462,821 : 1,129,740,925.50 = 1,129,740,925.50 : x
  2. Step 2: Convert to fraction form
    724,462,821/1,129,740,925.50 = 1,129,740,925.50/x
  3. Step 3: Cross multiply
    724,462,821x = 1,129,740,925.50 × 1,129,740,925.50
  4. Step 4: Simplify right side
    724,462,821x = 1,276,314,558,749,596,672
  5. Step 5: Solve for x
    x = 1,276,314,558,749,596,672/724,462,821
  6. Step 6: Final answer
    x = 1,761,739,211.11

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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.