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Finding the Third Proportional to 612,526 and 983,364

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Solution

The third proportional to 612,526 and 983,364 is: 1,578,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526 : 983,364 = 983,364 : x
  2. Step 2: Convert to fraction form
    612,526/983,364 = 983,364/x
  3. Step 3: Cross multiply
    612,526x = 983,364 × 983,364
  4. Step 4: Simplify right side
    612,526x = 967,004,756,496
  5. Step 5: Solve for x
    x = 967,004,756,496/612,526
  6. Step 6: Final answer
    x = 1,578,716.26

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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.