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Finding the Third Proportional to 841,416 and 1,846,128

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Solution

The third proportional to 841,416 and 1,846,128 is: 4,050,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,416 : 1,846,128 = 1,846,128 : x
  2. Step 2: Convert to fraction form
    841,416/1,846,128 = 1,846,128/x
  3. Step 3: Cross multiply
    841,416x = 1,846,128 × 1,846,128
  4. Step 4: Simplify right side
    841,416x = 3,408,188,592,384
  5. Step 5: Solve for x
    x = 3,408,188,592,384/841,416
  6. Step 6: Final answer
    x = 4,050,539.32

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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.