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Finding the Third Proportional to 790,852.50 and 1,197,370.13

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Solution

The third proportional to 790,852.50 and 1,197,370.13 is: 1,812,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,852.50 : 1,197,370.13 = 1,197,370.13 : x
  2. Step 2: Convert to fraction form
    790,852.50/1,197,370.13 = 1,197,370.13/x
  3. Step 3: Cross multiply
    790,852.50x = 1,197,370.13 × 1,197,370.13
  4. Step 4: Simplify right side
    790,852.50x = 1,433,695,216,242.52
  5. Step 5: Solve for x
    x = 1,433,695,216,242.52/790,852.50
  6. Step 6: Final answer
    x = 1,812,847.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.