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Finding the Third Proportional to 654,075 and 1,402,717.50

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Solution

The third proportional to 654,075 and 1,402,717.50 is: 3,008,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,075 : 1,402,717.50 = 1,402,717.50 : x
  2. Step 2: Convert to fraction form
    654,075/1,402,717.50 = 1,402,717.50/x
  3. Step 3: Cross multiply
    654,075x = 1,402,717.50 × 1,402,717.50
  4. Step 4: Simplify right side
    654,075x = 1,967,616,384,806.25
  5. Step 5: Solve for x
    x = 1,967,616,384,806.25/654,075
  6. Step 6: Final answer
    x = 3,008,242.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.