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Finding the Third Proportional to 945,402 and 2,023,695

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Solution

The third proportional to 945,402 and 2,023,695 is: 4,331,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,402 : 2,023,695 = 2,023,695 : x
  2. Step 2: Convert to fraction form
    945,402/2,023,695 = 2,023,695/x
  3. Step 3: Cross multiply
    945,402x = 2,023,695 × 2,023,695
  4. Step 4: Simplify right side
    945,402x = 4,095,341,453,025
  5. Step 5: Solve for x
    x = 4,095,341,453,025/945,402
  6. Step 6: Final answer
    x = 4,331,851.90

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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.