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Finding the Third Proportional to 945,409 and 2,023,708

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Solution

The third proportional to 945,409 and 2,023,708 is: 4,331,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,409 : 2,023,708 = 2,023,708 : x
  2. Step 2: Convert to fraction form
    945,409/2,023,708 = 2,023,708/x
  3. Step 3: Cross multiply
    945,409x = 2,023,708 × 2,023,708
  4. Step 4: Simplify right side
    945,409x = 4,095,394,069,264
  5. Step 5: Solve for x
    x = 4,095,394,069,264/945,409
  6. Step 6: Final answer
    x = 4,331,875.48

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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.