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Finding the Third Proportional to 597,853,993 and 841,543,297

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Solution

The third proportional to 597,853,993 and 841,543,297 is: 1,184,561,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,993 : 841,543,297 = 841,543,297 : x
  2. Step 2: Convert to fraction form
    597,853,993/841,543,297 = 841,543,297/x
  3. Step 3: Cross multiply
    597,853,993x = 841,543,297 × 841,543,297
  4. Step 4: Simplify right side
    597,853,993x = 708,195,120,725,630,208
  5. Step 5: Solve for x
    x = 708,195,120,725,630,208/597,853,993
  6. Step 6: Final answer
    x = 1,184,561,998.44

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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.