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Finding the Third Proportional to 450,253 and 983,612

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Solution

The third proportional to 450,253 and 983,612 is: 2,148,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,253 : 983,612 = 983,612 : x
  2. Step 2: Convert to fraction form
    450,253/983,612 = 983,612/x
  3. Step 3: Cross multiply
    450,253x = 983,612 × 983,612
  4. Step 4: Simplify right side
    450,253x = 967,492,566,544
  5. Step 5: Solve for x
    x = 967,492,566,544/450,253
  6. Step 6: Final answer
    x = 2,148,775.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.