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Finding the Third Proportional to 724,284,228 and 1,148,759,634

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Solution

The third proportional to 724,284,228 and 1,148,759,634 is: 1,822,003,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,284,228 : 1,148,759,634 = 1,148,759,634 : x
  2. Step 2: Convert to fraction form
    724,284,228/1,148,759,634 = 1,148,759,634/x
  3. Step 3: Cross multiply
    724,284,228x = 1,148,759,634 × 1,148,759,634
  4. Step 4: Simplify right side
    724,284,228x = 1,319,648,696,707,813,888
  5. Step 5: Solve for x
    x = 1,319,648,696,707,813,888/724,284,228
  6. Step 6: Final answer
    x = 1,822,003,911.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.