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Finding the Third Proportional to 412,672 and 904,076

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Solution

The third proportional to 412,672 and 904,076 is: 1,980,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,672 : 904,076 = 904,076 : x
  2. Step 2: Convert to fraction form
    412,672/904,076 = 904,076/x
  3. Step 3: Cross multiply
    412,672x = 904,076 × 904,076
  4. Step 4: Simplify right side
    412,672x = 817,353,413,776
  5. Step 5: Solve for x
    x = 817,353,413,776/412,672
  6. Step 6: Final answer
    x = 1,980,636.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.