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Finding the Third Proportional to 694,159.88 and 1,048,636.13

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Solution

The third proportional to 694,159.88 and 1,048,636.13 is: 1,584,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,159.88 : 1,048,636.13 = 1,048,636.13 : x
  2. Step 2: Convert to fraction form
    694,159.88/1,048,636.13 = 1,048,636.13/x
  3. Step 3: Cross multiply
    694,159.88x = 1,048,636.13 × 1,048,636.13
  4. Step 4: Simplify right side
    694,159.88x = 1,099,637,722,655.02
  5. Step 5: Solve for x
    x = 1,099,637,722,655.02/694,159.88
  6. Step 6: Final answer
    x = 1,584,127.46

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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.