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Finding the Third Proportional to 662,004 and 1,417,320

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Solution

The third proportional to 662,004 and 1,417,320 is: 3,034,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,004 : 1,417,320 = 1,417,320 : x
  2. Step 2: Convert to fraction form
    662,004/1,417,320 = 1,417,320/x
  3. Step 3: Cross multiply
    662,004x = 1,417,320 × 1,417,320
  4. Step 4: Simplify right side
    662,004x = 2,008,795,982,400
  5. Step 5: Solve for x
    x = 2,008,795,982,400/662,004
  6. Step 6: Final answer
    x = 3,034,416.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.