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Finding the Third Proportional to 646,356 and 1,388,664

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Solution

The third proportional to 646,356 and 1,388,664 is: 2,983,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,356 : 1,388,664 = 1,388,664 : x
  2. Step 2: Convert to fraction form
    646,356/1,388,664 = 1,388,664/x
  3. Step 3: Cross multiply
    646,356x = 1,388,664 × 1,388,664
  4. Step 4: Simplify right side
    646,356x = 1,928,387,704,896
  5. Step 5: Solve for x
    x = 1,928,387,704,896/646,356
  6. Step 6: Final answer
    x = 2,983,476.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.