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Finding the Third Proportional to 615,257 and 931,386

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Solution

The third proportional to 615,257 and 931,386 is: 1,409,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,257 : 931,386 = 931,386 : x
  2. Step 2: Convert to fraction form
    615,257/931,386 = 931,386/x
  3. Step 3: Cross multiply
    615,257x = 931,386 × 931,386
  4. Step 4: Simplify right side
    615,257x = 867,479,880,996
  5. Step 5: Solve for x
    x = 867,479,880,996/615,257
  6. Step 6: Final answer
    x = 1,409,947.19

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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.