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Finding the Third Proportional to 1,468,007 and 2,145,361

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Solution

The third proportional to 1,468,007 and 2,145,361 is: 3,135,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,007 : 2,145,361 = 2,145,361 : x
  2. Step 2: Convert to fraction form
    1,468,007/2,145,361 = 2,145,361/x
  3. Step 3: Cross multiply
    1,468,007x = 2,145,361 × 2,145,361
  4. Step 4: Simplify right side
    1,468,007x = 4,602,573,820,321
  5. Step 5: Solve for x
    x = 4,602,573,820,321/1,468,007
  6. Step 6: Final answer
    x = 3,135,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.