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Finding the Third Proportional to 452,658 and 983,202

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Solution

The third proportional to 452,658 and 983,202 is: 2,135,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,658 : 983,202 = 983,202 : x
  2. Step 2: Convert to fraction form
    452,658/983,202 = 983,202/x
  3. Step 3: Cross multiply
    452,658x = 983,202 × 983,202
  4. Step 4: Simplify right side
    452,658x = 966,686,172,804
  5. Step 5: Solve for x
    x = 966,686,172,804/452,658
  6. Step 6: Final answer
    x = 2,135,577.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.