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Finding the Third Proportional to 760,857.75 and 1,799,345.25

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Solution

The third proportional to 760,857.75 and 1,799,345.25 is: 4,255,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,857.75 : 1,799,345.25 = 1,799,345.25 : x
  2. Step 2: Convert to fraction form
    760,857.75/1,799,345.25 = 1,799,345.25/x
  3. Step 3: Cross multiply
    760,857.75x = 1,799,345.25 × 1,799,345.25
  4. Step 4: Simplify right side
    760,857.75x = 3,237,643,328,697.56
  5. Step 5: Solve for x
    x = 3,237,643,328,697.56/760,857.75
  6. Step 6: Final answer
    x = 4,255,254.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.