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Finding the Third Proportional to 724,984,634 and 1,073,886,802

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Solution

The third proportional to 724,984,634 and 1,073,886,802 is: 1,590,699,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,984,634 : 1,073,886,802 = 1,073,886,802 : x
  2. Step 2: Convert to fraction form
    724,984,634/1,073,886,802 = 1,073,886,802/x
  3. Step 3: Cross multiply
    724,984,634x = 1,073,886,802 × 1,073,886,802
  4. Step 4: Simplify right side
    724,984,634x = 1,153,232,863,509,787,136
  5. Step 5: Solve for x
    x = 1,153,232,863,509,787,136/724,984,634
  6. Step 6: Final answer
    x = 1,590,699,732.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.