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Finding the Third Proportional to 615,209 and 963,135

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Solution

The third proportional to 615,209 and 963,135 is: 1,507,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,209 : 963,135 = 963,135 : x
  2. Step 2: Convert to fraction form
    615,209/963,135 = 963,135/x
  3. Step 3: Cross multiply
    615,209x = 963,135 × 963,135
  4. Step 4: Simplify right side
    615,209x = 927,629,028,225
  5. Step 5: Solve for x
    x = 927,629,028,225/615,209
  6. Step 6: Final answer
    x = 1,507,827.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.