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Finding the Third Proportional to 617,210 and 1,346,452

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Solution

The third proportional to 617,210 and 1,346,452 is: 2,937,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,210 : 1,346,452 = 1,346,452 : x
  2. Step 2: Convert to fraction form
    617,210/1,346,452 = 1,346,452/x
  3. Step 3: Cross multiply
    617,210x = 1,346,452 × 1,346,452
  4. Step 4: Simplify right side
    617,210x = 1,812,932,988,304
  5. Step 5: Solve for x
    x = 1,812,932,988,304/617,210
  6. Step 6: Final answer
    x = 2,937,303.33

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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.