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Finding the Third Proportional to 830,395.13 and 1,245,592.69

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Solution

The third proportional to 830,395.13 and 1,245,592.69 is: 1,868,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,395.13 : 1,245,592.69 = 1,245,592.69 : x
  2. Step 2: Convert to fraction form
    830,395.13/1,245,592.69 = 1,245,592.69/x
  3. Step 3: Cross multiply
    830,395.13x = 1,245,592.69 × 1,245,592.69
  4. Step 4: Simplify right side
    830,395.13x = 1,551,501,143,153.47
  5. Step 5: Solve for x
    x = 1,551,501,143,153.47/830,395.13
  6. Step 6: Final answer
    x = 1,868,389.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.