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Finding the Third Proportional to 686,320 and 1,034,881.50

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Solution

The third proportional to 686,320 and 1,034,881.50 is: 1,560,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,320 : 1,034,881.50 = 1,034,881.50 : x
  2. Step 2: Convert to fraction form
    686,320/1,034,881.50 = 1,034,881.50/x
  3. Step 3: Cross multiply
    686,320x = 1,034,881.50 × 1,034,881.50
  4. Step 4: Simplify right side
    686,320x = 1,070,979,719,042.25
  5. Step 5: Solve for x
    x = 1,070,979,719,042.25/686,320
  6. Step 6: Final answer
    x = 1,560,467.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.