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Finding the Third Proportional to 702,940.78 and 1,455,726.94

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Solution

The third proportional to 702,940.78 and 1,455,726.94 is: 3,014,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,940.78 : 1,455,726.94 = 1,455,726.94 : x
  2. Step 2: Convert to fraction form
    702,940.78/1,455,726.94 = 1,455,726.94/x
  3. Step 3: Cross multiply
    702,940.78x = 1,455,726.94 × 1,455,726.94
  4. Step 4: Simplify right side
    702,940.78x = 2,119,140,916,563.13
  5. Step 5: Solve for x
    x = 2,119,140,916,563.13/702,940.78
  6. Step 6: Final answer
    x = 3,014,679.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.