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Finding the Third Proportional to 714,626 and 1,569,232

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Solution

The third proportional to 714,626 and 1,569,232 is: 3,445,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,626 : 1,569,232 = 1,569,232 : x
  2. Step 2: Convert to fraction form
    714,626/1,569,232 = 1,569,232/x
  3. Step 3: Cross multiply
    714,626x = 1,569,232 × 1,569,232
  4. Step 4: Simplify right side
    714,626x = 2,462,489,069,824
  5. Step 5: Solve for x
    x = 2,462,489,069,824/714,626
  6. Step 6: Final answer
    x = 3,445,843.10

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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.