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Finding the Third Proportional to 583,002 and 1,255,428

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Solution

The third proportional to 583,002 and 1,255,428 is: 2,703,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,002 : 1,255,428 = 1,255,428 : x
  2. Step 2: Convert to fraction form
    583,002/1,255,428 = 1,255,428/x
  3. Step 3: Cross multiply
    583,002x = 1,255,428 × 1,255,428
  4. Step 4: Simplify right side
    583,002x = 1,576,099,463,184
  5. Step 5: Solve for x
    x = 1,576,099,463,184/583,002
  6. Step 6: Final answer
    x = 2,703,420.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.