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Finding the Third Proportional to 714,640 and 1,569,260

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Solution

The third proportional to 714,640 and 1,569,260 is: 3,445,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,640 : 1,569,260 = 1,569,260 : x
  2. Step 2: Convert to fraction form
    714,640/1,569,260 = 1,569,260/x
  3. Step 3: Cross multiply
    714,640x = 1,569,260 × 1,569,260
  4. Step 4: Simplify right side
    714,640x = 2,462,576,947,600
  5. Step 5: Solve for x
    x = 2,462,576,947,600/714,640
  6. Step 6: Final answer
    x = 3,445,898.56

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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.