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Finding the Third Proportional to 291,314,542 and 624,181,084

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Solution

The third proportional to 291,314,542 and 624,181,084 is: 1,337,392,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,542 : 624,181,084 = 624,181,084 : x
  2. Step 2: Convert to fraction form
    291,314,542/624,181,084 = 624,181,084/x
  3. Step 3: Cross multiply
    291,314,542x = 624,181,084 × 624,181,084
  4. Step 4: Simplify right side
    291,314,542x = 389,602,025,623,415,040
  5. Step 5: Solve for x
    x = 389,602,025,623,415,040/291,314,542
  6. Step 6: Final answer
    x = 1,337,392,987.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.