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Finding the Third Proportional to 583,506 and 1,256,292

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Solution

The third proportional to 583,506 and 1,256,292 is: 2,704,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,506 : 1,256,292 = 1,256,292 : x
  2. Step 2: Convert to fraction form
    583,506/1,256,292 = 1,256,292/x
  3. Step 3: Cross multiply
    583,506x = 1,256,292 × 1,256,292
  4. Step 4: Simplify right side
    583,506x = 1,578,269,589,264
  5. Step 5: Solve for x
    x = 1,578,269,589,264/583,506
  6. Step 6: Final answer
    x = 2,704,804.39

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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.