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Finding the Third Proportional to 596,772 and 1,298,480

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Solution

The third proportional to 596,772 and 1,298,480 is: 2,825,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,772 : 1,298,480 = 1,298,480 : x
  2. Step 2: Convert to fraction form
    596,772/1,298,480 = 1,298,480/x
  3. Step 3: Cross multiply
    596,772x = 1,298,480 × 1,298,480
  4. Step 4: Simplify right side
    596,772x = 1,686,050,310,400
  5. Step 5: Solve for x
    x = 1,686,050,310,400/596,772
  6. Step 6: Final answer
    x = 2,825,283.88

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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.