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Finding the Third Proportional to 434,862 and 934,031.25

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Solution

The third proportional to 434,862 and 934,031.25 is: 2,006,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,862 : 934,031.25 = 934,031.25 : x
  2. Step 2: Convert to fraction form
    434,862/934,031.25 = 934,031.25/x
  3. Step 3: Cross multiply
    434,862x = 934,031.25 × 934,031.25
  4. Step 4: Simplify right side
    434,862x = 872,414,375,976.56
  5. Step 5: Solve for x
    x = 872,414,375,976.56/434,862
  6. Step 6: Final answer
    x = 2,006,186.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.