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Finding the Third Proportional to 945,409 and 2,023,710

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Solution

The third proportional to 945,409 and 2,023,710 is: 4,331,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,409 : 2,023,710 = 2,023,710 : x
  2. Step 2: Convert to fraction form
    945,409/2,023,710 = 2,023,710/x
  3. Step 3: Cross multiply
    945,409x = 2,023,710 × 2,023,710
  4. Step 4: Simplify right side
    945,409x = 4,095,402,164,100
  5. Step 5: Solve for x
    x = 4,095,402,164,100/945,409
  6. Step 6: Final answer
    x = 4,331,884.05

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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.