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Finding the Third Proportional to 633,097 and 1,386,261

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Solution

The third proportional to 633,097 and 1,386,261 is: 3,035,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,097 : 1,386,261 = 1,386,261 : x
  2. Step 2: Convert to fraction form
    633,097/1,386,261 = 1,386,261/x
  3. Step 3: Cross multiply
    633,097x = 1,386,261 × 1,386,261
  4. Step 4: Simplify right side
    633,097x = 1,921,719,560,121
  5. Step 5: Solve for x
    x = 1,921,719,560,121/633,097
  6. Step 6: Final answer
    x = 3,035,426.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.