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Finding the Third Proportional to 594,664 and 1,282,640

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Solution

The third proportional to 594,664 and 1,282,640 is: 2,766,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,664 : 1,282,640 = 1,282,640 : x
  2. Step 2: Convert to fraction form
    594,664/1,282,640 = 1,282,640/x
  3. Step 3: Cross multiply
    594,664x = 1,282,640 × 1,282,640
  4. Step 4: Simplify right side
    594,664x = 1,645,165,369,600
  5. Step 5: Solve for x
    x = 1,645,165,369,600/594,664
  6. Step 6: Final answer
    x = 2,766,546.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.