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Finding the Third Proportional to 969,574 and 2,264,527

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Solution

The third proportional to 969,574 and 2,264,527 is: 5,289,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,574 : 2,264,527 = 2,264,527 : x
  2. Step 2: Convert to fraction form
    969,574/2,264,527 = 2,264,527/x
  3. Step 3: Cross multiply
    969,574x = 2,264,527 × 2,264,527
  4. Step 4: Simplify right side
    969,574x = 5,128,082,533,729
  5. Step 5: Solve for x
    x = 5,128,082,533,729/969,574
  6. Step 6: Final answer
    x = 5,289,005.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.