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Finding the Third Proportional to 583,756 and 1,282,440

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Solution

The third proportional to 583,756 and 1,282,440 is: 2,817,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,756 : 1,282,440 = 1,282,440 : x
  2. Step 2: Convert to fraction form
    583,756/1,282,440 = 1,282,440/x
  3. Step 3: Cross multiply
    583,756x = 1,282,440 × 1,282,440
  4. Step 4: Simplify right side
    583,756x = 1,644,652,353,600
  5. Step 5: Solve for x
    x = 1,644,652,353,600/583,756
  6. Step 6: Final answer
    x = 2,817,362.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.