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Finding the Third Proportional to 642,488 and 1,370,476

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Solution

The third proportional to 642,488 and 1,370,476 is: 2,923,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,488 : 1,370,476 = 1,370,476 : x
  2. Step 2: Convert to fraction form
    642,488/1,370,476 = 1,370,476/x
  3. Step 3: Cross multiply
    642,488x = 1,370,476 × 1,370,476
  4. Step 4: Simplify right side
    642,488x = 1,878,204,466,576
  5. Step 5: Solve for x
    x = 1,878,204,466,576/642,488
  6. Step 6: Final answer
    x = 2,923,330.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.