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Finding the Third Proportional to 580,416 and 1,219,584

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Solution

The third proportional to 580,416 and 1,219,584 is: 2,562,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,416 : 1,219,584 = 1,219,584 : x
  2. Step 2: Convert to fraction form
    580,416/1,219,584 = 1,219,584/x
  3. Step 3: Cross multiply
    580,416x = 1,219,584 × 1,219,584
  4. Step 4: Simplify right side
    580,416x = 1,487,385,133,056
  5. Step 5: Solve for x
    x = 1,487,385,133,056/580,416
  6. Step 6: Final answer
    x = 2,562,619.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.