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Finding the Third Proportional to 414,851 and 904,785

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Solution

The third proportional to 414,851 and 904,785 is: 1,973,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,851 : 904,785 = 904,785 : x
  2. Step 2: Convert to fraction form
    414,851/904,785 = 904,785/x
  3. Step 3: Cross multiply
    414,851x = 904,785 × 904,785
  4. Step 4: Simplify right side
    414,851x = 818,635,896,225
  5. Step 5: Solve for x
    x = 818,635,896,225/414,851
  6. Step 6: Final answer
    x = 1,973,325.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.