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Finding the Third Proportional to 714,622 and 1,569,224

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Solution

The third proportional to 714,622 and 1,569,224 is: 3,445,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,622 : 1,569,224 = 1,569,224 : x
  2. Step 2: Convert to fraction form
    714,622/1,569,224 = 1,569,224/x
  3. Step 3: Cross multiply
    714,622x = 1,569,224 × 1,569,224
  4. Step 4: Simplify right side
    714,622x = 2,462,463,962,176
  5. Step 5: Solve for x
    x = 2,462,463,962,176/714,622
  6. Step 6: Final answer
    x = 3,445,827.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.