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Finding the Third Proportional to 941,654 and 2,012,584

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Solution

The third proportional to 941,654 and 2,012,584 is: 4,301,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,654 : 2,012,584 = 2,012,584 : x
  2. Step 2: Convert to fraction form
    941,654/2,012,584 = 2,012,584/x
  3. Step 3: Cross multiply
    941,654x = 2,012,584 × 2,012,584
  4. Step 4: Simplify right side
    941,654x = 4,050,494,357,056
  5. Step 5: Solve for x
    x = 4,050,494,357,056/941,654
  6. Step 6: Final answer
    x = 4,301,467.80

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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.