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Finding the Third Proportional to 676,109 and 1,046,361

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Solution

The third proportional to 676,109 and 1,046,361 is: 1,619,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,109 : 1,046,361 = 1,046,361 : x
  2. Step 2: Convert to fraction form
    676,109/1,046,361 = 1,046,361/x
  3. Step 3: Cross multiply
    676,109x = 1,046,361 × 1,046,361
  4. Step 4: Simplify right side
    676,109x = 1,094,871,342,321
  5. Step 5: Solve for x
    x = 1,094,871,342,321/676,109
  6. Step 6: Final answer
    x = 1,619,371.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.