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Finding the Third Proportional to 539,662 and 1,184,300

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Solution

The third proportional to 539,662 and 1,184,300 is: 2,598,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,662 : 1,184,300 = 1,184,300 : x
  2. Step 2: Convert to fraction form
    539,662/1,184,300 = 1,184,300/x
  3. Step 3: Cross multiply
    539,662x = 1,184,300 × 1,184,300
  4. Step 4: Simplify right side
    539,662x = 1,402,566,490,000
  5. Step 5: Solve for x
    x = 1,402,566,490,000/539,662
  6. Step 6: Final answer
    x = 2,598,972.12

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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.