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Finding the Third Proportional to 668,153.81 and 1,075,771.13

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Solution

The third proportional to 668,153.81 and 1,075,771.13 is: 1,732,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,153.81 : 1,075,771.13 = 1,075,771.13 : x
  2. Step 2: Convert to fraction form
    668,153.81/1,075,771.13 = 1,075,771.13/x
  3. Step 3: Cross multiply
    668,153.81x = 1,075,771.13 × 1,075,771.13
  4. Step 4: Simplify right side
    668,153.81x = 1,157,283,513,383.77
  5. Step 5: Solve for x
    x = 1,157,283,513,383.77/668,153.81
  6. Step 6: Final answer
    x = 1,732,061.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.