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Finding the Third Proportional to 583,798 and 1,257,656

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Solution

The third proportional to 583,798 and 1,257,656 is: 2,709,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,798 : 1,257,656 = 1,257,656 : x
  2. Step 2: Convert to fraction form
    583,798/1,257,656 = 1,257,656/x
  3. Step 3: Cross multiply
    583,798x = 1,257,656 × 1,257,656
  4. Step 4: Simplify right side
    583,798x = 1,581,698,614,336
  5. Step 5: Solve for x
    x = 1,581,698,614,336/583,798
  6. Step 6: Final answer
    x = 2,709,325.17

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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.