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Finding the Third Proportional to 597,853,991 and 841,543,294.50

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Solution

The third proportional to 597,853,991 and 841,543,294.50 is: 1,184,561,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,991 : 841,543,294.50 = 841,543,294.50 : x
  2. Step 2: Convert to fraction form
    597,853,991/841,543,294.50 = 841,543,294.50/x
  3. Step 3: Cross multiply
    597,853,991x = 841,543,294.50 × 841,543,294.50
  4. Step 4: Simplify right side
    597,853,991x = 708,195,116,517,913,728
  5. Step 5: Solve for x
    x = 708,195,116,517,913,728/597,853,991
  6. Step 6: Final answer
    x = 1,184,561,995.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.