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Finding the Third Proportional to 712,278 and 1,109,265

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Solution

The third proportional to 712,278 and 1,109,265 is: 1,727,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,278 : 1,109,265 = 1,109,265 : x
  2. Step 2: Convert to fraction form
    712,278/1,109,265 = 1,109,265/x
  3. Step 3: Cross multiply
    712,278x = 1,109,265 × 1,109,265
  4. Step 4: Simplify right side
    712,278x = 1,230,468,840,225
  5. Step 5: Solve for x
    x = 1,230,468,840,225/712,278
  6. Step 6: Final answer
    x = 1,727,512.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.