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Finding the Third Proportional to 583,038 and 1,274,076

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Solution

The third proportional to 583,038 and 1,274,076 is: 2,784,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,038 : 1,274,076 = 1,274,076 : x
  2. Step 2: Convert to fraction form
    583,038/1,274,076 = 1,274,076/x
  3. Step 3: Cross multiply
    583,038x = 1,274,076 × 1,274,076
  4. Step 4: Simplify right side
    583,038x = 1,623,269,653,776
  5. Step 5: Solve for x
    x = 1,623,269,653,776/583,038
  6. Step 6: Final answer
    x = 2,784,157.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.