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Finding the Third Proportional to 854,952 and 1,828,464

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Solution

The third proportional to 854,952 and 1,828,464 is: 3,910,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,952 : 1,828,464 = 1,828,464 : x
  2. Step 2: Convert to fraction form
    854,952/1,828,464 = 1,828,464/x
  3. Step 3: Cross multiply
    854,952x = 1,828,464 × 1,828,464
  4. Step 4: Simplify right side
    854,952x = 3,343,280,599,296
  5. Step 5: Solve for x
    x = 3,343,280,599,296/854,952
  6. Step 6: Final answer
    x = 3,910,489.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.