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Finding the Third Proportional to 475,097 and 1,008,487

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Solution

The third proportional to 475,097 and 1,008,487 is: 2,140,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,097 : 1,008,487 = 1,008,487 : x
  2. Step 2: Convert to fraction form
    475,097/1,008,487 = 1,008,487/x
  3. Step 3: Cross multiply
    475,097x = 1,008,487 × 1,008,487
  4. Step 4: Simplify right side
    475,097x = 1,017,046,029,169
  5. Step 5: Solve for x
    x = 1,017,046,029,169/475,097
  6. Step 6: Final answer
    x = 2,140,712.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.