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Finding the Third Proportional to 583,582 and 1,269,413

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Solution

The third proportional to 583,582 and 1,269,413 is: 2,761,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,582 : 1,269,413 = 1,269,413 : x
  2. Step 2: Convert to fraction form
    583,582/1,269,413 = 1,269,413/x
  3. Step 3: Cross multiply
    583,582x = 1,269,413 × 1,269,413
  4. Step 4: Simplify right side
    583,582x = 1,611,409,364,569
  5. Step 5: Solve for x
    x = 1,611,409,364,569/583,582
  6. Step 6: Final answer
    x = 2,761,238.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.