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Finding the Third Proportional to 698,952 and 1,489,476

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Solution

The third proportional to 698,952 and 1,489,476 is: 3,174,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,952 : 1,489,476 = 1,489,476 : x
  2. Step 2: Convert to fraction form
    698,952/1,489,476 = 1,489,476/x
  3. Step 3: Cross multiply
    698,952x = 1,489,476 × 1,489,476
  4. Step 4: Simplify right side
    698,952x = 2,218,538,754,576
  5. Step 5: Solve for x
    x = 2,218,538,754,576/698,952
  6. Step 6: Final answer
    x = 3,174,093.15

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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.