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Finding the Third Proportional to 650,906 and 1,417,480

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Solution

The third proportional to 650,906 and 1,417,480 is: 3,086,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,906 : 1,417,480 = 1,417,480 : x
  2. Step 2: Convert to fraction form
    650,906/1,417,480 = 1,417,480/x
  3. Step 3: Cross multiply
    650,906x = 1,417,480 × 1,417,480
  4. Step 4: Simplify right side
    650,906x = 2,009,249,550,400
  5. Step 5: Solve for x
    x = 2,009,249,550,400/650,906
  6. Step 6: Final answer
    x = 3,086,850.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.