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Finding the Third Proportional to 583,464 and 1,289,400

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Solution

The third proportional to 583,464 and 1,289,400 is: 2,849,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,464 : 1,289,400 = 1,289,400 : x
  2. Step 2: Convert to fraction form
    583,464/1,289,400 = 1,289,400/x
  3. Step 3: Cross multiply
    583,464x = 1,289,400 × 1,289,400
  4. Step 4: Simplify right side
    583,464x = 1,662,552,360,000
  5. Step 5: Solve for x
    x = 1,662,552,360,000/583,464
  6. Step 6: Final answer
    x = 2,849,451.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.