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Finding the Third Proportional to 686,316 and 1,034,875

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Solution

The third proportional to 686,316 and 1,034,875 is: 1,560,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,316 : 1,034,875 = 1,034,875 : x
  2. Step 2: Convert to fraction form
    686,316/1,034,875 = 1,034,875/x
  3. Step 3: Cross multiply
    686,316x = 1,034,875 × 1,034,875
  4. Step 4: Simplify right side
    686,316x = 1,070,966,265,625
  5. Step 5: Solve for x
    x = 1,070,966,265,625/686,316
  6. Step 6: Final answer
    x = 1,560,456.50

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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.