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Finding the Third Proportional to 686,154 and 1,066,599

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Solution

The third proportional to 686,154 and 1,066,599 is: 1,657,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,154 : 1,066,599 = 1,066,599 : x
  2. Step 2: Convert to fraction form
    686,154/1,066,599 = 1,066,599/x
  3. Step 3: Cross multiply
    686,154x = 1,066,599 × 1,066,599
  4. Step 4: Simplify right side
    686,154x = 1,137,633,426,801
  5. Step 5: Solve for x
    x = 1,137,633,426,801/686,154
  6. Step 6: Final answer
    x = 1,657,985.56

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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.