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Finding the Third Proportional to 687,075 and 1,465,443

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Solution

The third proportional to 687,075 and 1,465,443 is: 3,125,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,075 : 1,465,443 = 1,465,443 : x
  2. Step 2: Convert to fraction form
    687,075/1,465,443 = 1,465,443/x
  3. Step 3: Cross multiply
    687,075x = 1,465,443 × 1,465,443
  4. Step 4: Simplify right side
    687,075x = 2,147,523,186,249
  5. Step 5: Solve for x
    x = 2,147,523,186,249/687,075
  6. Step 6: Final answer
    x = 3,125,602.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.