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Finding the Third Proportional to 475,126 and 1,056,497

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Solution

The third proportional to 475,126 and 1,056,497 is: 2,349,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,126 : 1,056,497 = 1,056,497 : x
  2. Step 2: Convert to fraction form
    475,126/1,056,497 = 1,056,497/x
  3. Step 3: Cross multiply
    475,126x = 1,056,497 × 1,056,497
  4. Step 4: Simplify right side
    475,126x = 1,116,185,911,009
  5. Step 5: Solve for x
    x = 1,116,185,911,009/475,126
  6. Step 6: Final answer
    x = 2,349,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.