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Finding the Third Proportional to 714,453 and 1,527,168

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Solution

The third proportional to 714,453 and 1,527,168 is: 3,264,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,453 : 1,527,168 = 1,527,168 : x
  2. Step 2: Convert to fraction form
    714,453/1,527,168 = 1,527,168/x
  3. Step 3: Cross multiply
    714,453x = 1,527,168 × 1,527,168
  4. Step 4: Simplify right side
    714,453x = 2,332,242,100,224
  5. Step 5: Solve for x
    x = 2,332,242,100,224/714,453
  6. Step 6: Final answer
    x = 3,264,374.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.