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Finding the Third Proportional to 585,414 and 1,216,752

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Solution

The third proportional to 585,414 and 1,216,752 is: 2,528,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,414 : 1,216,752 = 1,216,752 : x
  2. Step 2: Convert to fraction form
    585,414/1,216,752 = 1,216,752/x
  3. Step 3: Cross multiply
    585,414x = 1,216,752 × 1,216,752
  4. Step 4: Simplify right side
    585,414x = 1,480,485,429,504
  5. Step 5: Solve for x
    x = 1,480,485,429,504/585,414
  6. Step 6: Final answer
    x = 2,528,954.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.