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Finding the Third Proportional to 714,607 and 1,569,195

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Solution

The third proportional to 714,607 and 1,569,195 is: 3,445,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,607 : 1,569,195 = 1,569,195 : x
  2. Step 2: Convert to fraction form
    714,607/1,569,195 = 1,569,195/x
  3. Step 3: Cross multiply
    714,607x = 1,569,195 × 1,569,195
  4. Step 4: Simplify right side
    714,607x = 2,462,372,948,025
  5. Step 5: Solve for x
    x = 2,462,372,948,025/714,607
  6. Step 6: Final answer
    x = 3,445,772.22

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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.