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Finding the Third Proportional to 562,056 and 822,028

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Solution

The third proportional to 562,056 and 822,028 is: 1,202,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,056 : 822,028 = 822,028 : x
  2. Step 2: Convert to fraction form
    562,056/822,028 = 822,028/x
  3. Step 3: Cross multiply
    562,056x = 822,028 × 822,028
  4. Step 4: Simplify right side
    562,056x = 675,730,032,784
  5. Step 5: Solve for x
    x = 675,730,032,784/562,056
  6. Step 6: Final answer
    x = 1,202,246.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.