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Finding the Third Proportional to 743,841 and 1,611,288

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Solution

The third proportional to 743,841 and 1,611,288 is: 3,490,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,841 : 1,611,288 = 1,611,288 : x
  2. Step 2: Convert to fraction form
    743,841/1,611,288 = 1,611,288/x
  3. Step 3: Cross multiply
    743,841x = 1,611,288 × 1,611,288
  4. Step 4: Simplify right side
    743,841x = 2,596,249,018,944
  5. Step 5: Solve for x
    x = 2,596,249,018,944/743,841
  6. Step 6: Final answer
    x = 3,490,327.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.