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Finding the Third Proportional to 421,726.50 and 909,883.13

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Solution

The third proportional to 421,726.50 and 909,883.13 is: 1,963,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,726.50 : 909,883.13 = 909,883.13 : x
  2. Step 2: Convert to fraction form
    421,726.50/909,883.13 = 909,883.13/x
  3. Step 3: Cross multiply
    421,726.50x = 909,883.13 × 909,883.13
  4. Step 4: Simplify right side
    421,726.50x = 827,887,301,159.77
  5. Step 5: Solve for x
    x = 827,887,301,159.77/421,726.50
  6. Step 6: Final answer
    x = 1,963,090.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.