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Finding the Third Proportional to 497,592 and 1,066,185

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Solution

The third proportional to 497,592 and 1,066,185 is: 2,284,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,592 : 1,066,185 = 1,066,185 : x
  2. Step 2: Convert to fraction form
    497,592/1,066,185 = 1,066,185/x
  3. Step 3: Cross multiply
    497,592x = 1,066,185 × 1,066,185
  4. Step 4: Simplify right side
    497,592x = 1,136,750,454,225
  5. Step 5: Solve for x
    x = 1,136,750,454,225/497,592
  6. Step 6: Final answer
    x = 2,284,503.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.