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Finding the Third Proportional to 965,571 and 1,460,784

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Solution

The third proportional to 965,571 and 1,460,784 is: 2,209,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,571 : 1,460,784 = 1,460,784 : x
  2. Step 2: Convert to fraction form
    965,571/1,460,784 = 1,460,784/x
  3. Step 3: Cross multiply
    965,571x = 1,460,784 × 1,460,784
  4. Step 4: Simplify right side
    965,571x = 2,133,889,894,656
  5. Step 5: Solve for x
    x = 2,133,889,894,656/965,571
  6. Step 6: Final answer
    x = 2,209,977.20

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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.