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Finding the Third Proportional to 534,503 and 1,152,553

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Solution

The third proportional to 534,503 and 1,152,553 is: 2,485,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,503 : 1,152,553 = 1,152,553 : x
  2. Step 2: Convert to fraction form
    534,503/1,152,553 = 1,152,553/x
  3. Step 3: Cross multiply
    534,503x = 1,152,553 × 1,152,553
  4. Step 4: Simplify right side
    534,503x = 1,328,378,417,809
  5. Step 5: Solve for x
    x = 1,328,378,417,809/534,503
  6. Step 6: Final answer
    x = 2,485,259.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.