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Finding the Third Proportional to 615,546 and 931,518

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Solution

The third proportional to 615,546 and 931,518 is: 1,409,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,546 : 931,518 = 931,518 : x
  2. Step 2: Convert to fraction form
    615,546/931,518 = 931,518/x
  3. Step 3: Cross multiply
    615,546x = 931,518 × 931,518
  4. Step 4: Simplify right side
    615,546x = 867,725,784,324
  5. Step 5: Solve for x
    x = 867,725,784,324/615,546
  6. Step 6: Final answer
    x = 1,409,684.71

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Why These Related Problems?

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