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Finding the Third Proportional to 720,626 and 1,564,324

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Solution

The third proportional to 720,626 and 1,564,324 is: 3,395,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,626 : 1,564,324 = 1,564,324 : x
  2. Step 2: Convert to fraction form
    720,626/1,564,324 = 1,564,324/x
  3. Step 3: Cross multiply
    720,626x = 1,564,324 × 1,564,324
  4. Step 4: Simplify right side
    720,626x = 2,447,109,576,976
  5. Step 5: Solve for x
    x = 2,447,109,576,976/720,626
  6. Step 6: Final answer
    x = 3,395,810.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.