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Finding the Third Proportional to 585,416 and 1,216,756

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Solution

The third proportional to 585,416 and 1,216,756 is: 2,528,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,416 : 1,216,756 = 1,216,756 : x
  2. Step 2: Convert to fraction form
    585,416/1,216,756 = 1,216,756/x
  3. Step 3: Cross multiply
    585,416x = 1,216,756 × 1,216,756
  4. Step 4: Simplify right side
    585,416x = 1,480,495,163,536
  5. Step 5: Solve for x
    x = 1,480,495,163,536/585,416
  6. Step 6: Final answer
    x = 2,528,962.59

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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.