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Finding the Third Proportional to 618,265 and 1,302,953

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Solution

The third proportional to 618,265 and 1,302,953 is: 2,745,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,265 : 1,302,953 = 1,302,953 : x
  2. Step 2: Convert to fraction form
    618,265/1,302,953 = 1,302,953/x
  3. Step 3: Cross multiply
    618,265x = 1,302,953 × 1,302,953
  4. Step 4: Simplify right side
    618,265x = 1,697,686,520,209
  5. Step 5: Solve for x
    x = 1,697,686,520,209/618,265
  6. Step 6: Final answer
    x = 2,745,888.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.