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Finding the Third Proportional to 583,510 and 1,256,300

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Solution

The third proportional to 583,510 and 1,256,300 is: 2,704,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,510 : 1,256,300 = 1,256,300 : x
  2. Step 2: Convert to fraction form
    583,510/1,256,300 = 1,256,300/x
  3. Step 3: Cross multiply
    583,510x = 1,256,300 × 1,256,300
  4. Step 4: Simplify right side
    583,510x = 1,578,289,690,000
  5. Step 5: Solve for x
    x = 1,578,289,690,000/583,510
  6. Step 6: Final answer
    x = 2,704,820.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.