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Finding the Third Proportional to 1,846,324 and 2,709,575

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Solution

The third proportional to 1,846,324 and 2,709,575 is: 3,976,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,324 : 2,709,575 = 2,709,575 : x
  2. Step 2: Convert to fraction form
    1,846,324/2,709,575 = 2,709,575/x
  3. Step 3: Cross multiply
    1,846,324x = 2,709,575 × 2,709,575
  4. Step 4: Simplify right side
    1,846,324x = 7,341,796,680,625
  5. Step 5: Solve for x
    x = 7,341,796,680,625/1,846,324
  6. Step 6: Final answer
    x = 3,976,440.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.