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Finding the Third Proportional to 723,244,754 and 1,569,783,984

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Solution

The third proportional to 723,244,754 and 1,569,783,984 is: 3,407,175,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,244,754 : 1,569,783,984 = 1,569,783,984 : x
  2. Step 2: Convert to fraction form
    723,244,754/1,569,783,984 = 1,569,783,984/x
  3. Step 3: Cross multiply
    723,244,754x = 1,569,783,984 × 1,569,783,984
  4. Step 4: Simplify right side
    723,244,754x = 2,464,221,756,422,912,000
  5. Step 5: Solve for x
    x = 2,464,221,756,422,912,000/723,244,754
  6. Step 6: Final answer
    x = 3,407,175,430.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.