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Finding the Third Proportional to 615,516 and 962,154

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Solution

The third proportional to 615,516 and 962,154 is: 1,504,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,516 : 962,154 = 962,154 : x
  2. Step 2: Convert to fraction form
    615,516/962,154 = 962,154/x
  3. Step 3: Cross multiply
    615,516x = 962,154 × 962,154
  4. Step 4: Simplify right side
    615,516x = 925,740,319,716
  5. Step 5: Solve for x
    x = 925,740,319,716/615,516
  6. Step 6: Final answer
    x = 1,504,006.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.