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Finding the Third Proportional to 832,991,984 and 1,218,824,894

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Solution

The third proportional to 832,991,984 and 1,218,824,894 is: 1,783,371,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,991,984 : 1,218,824,894 = 1,218,824,894 : x
  2. Step 2: Convert to fraction form
    832,991,984/1,218,824,894 = 1,218,824,894/x
  3. Step 3: Cross multiply
    832,991,984x = 1,218,824,894 × 1,218,824,894
  4. Step 4: Simplify right side
    832,991,984x = 1,485,534,122,234,111,232
  5. Step 5: Solve for x
    x = 1,485,534,122,234,111,232/832,991,984
  6. Step 6: Final answer
    x = 1,783,371,449.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.