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Finding the Third Proportional to 1,230,493.50 and 1,772,574

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Solution

The third proportional to 1,230,493.50 and 1,772,574 is: 2,553,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,493.50 : 1,772,574 = 1,772,574 : x
  2. Step 2: Convert to fraction form
    1,230,493.50/1,772,574 = 1,772,574/x
  3. Step 3: Cross multiply
    1,230,493.50x = 1,772,574 × 1,772,574
  4. Step 4: Simplify right side
    1,230,493.50x = 3,142,018,585,476
  5. Step 5: Solve for x
    x = 3,142,018,585,476/1,230,493.50
  6. Step 6: Final answer
    x = 2,553,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.