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Finding the Third Proportional to 590,176.13 and 1,058,897.81

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Solution

The third proportional to 590,176.13 and 1,058,897.81 is: 1,899,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,176.13 : 1,058,897.81 = 1,058,897.81 : x
  2. Step 2: Convert to fraction form
    590,176.13/1,058,897.81 = 1,058,897.81/x
  3. Step 3: Cross multiply
    590,176.13x = 1,058,897.81 × 1,058,897.81
  4. Step 4: Simplify right side
    590,176.13x = 1,121,264,577,317.29
  5. Step 5: Solve for x
    x = 1,121,264,577,317.29/590,176.13
  6. Step 6: Final answer
    x = 1,899,881.29

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.