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Finding the Third Proportional to 583,624 and 1,254,436

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Solution

The third proportional to 583,624 and 1,254,436 is: 2,696,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,624 : 1,254,436 = 1,254,436 : x
  2. Step 2: Convert to fraction form
    583,624/1,254,436 = 1,254,436/x
  3. Step 3: Cross multiply
    583,624x = 1,254,436 × 1,254,436
  4. Step 4: Simplify right side
    583,624x = 1,573,609,678,096
  5. Step 5: Solve for x
    x = 1,573,609,678,096/583,624
  6. Step 6: Final answer
    x = 2,696,273.08

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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.