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Finding the Third Proportional to 556,146 and 1,214,276

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Solution

The third proportional to 556,146 and 1,214,276 is: 2,651,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,146 : 1,214,276 = 1,214,276 : x
  2. Step 2: Convert to fraction form
    556,146/1,214,276 = 1,214,276/x
  3. Step 3: Cross multiply
    556,146x = 1,214,276 × 1,214,276
  4. Step 4: Simplify right side
    556,146x = 1,474,466,204,176
  5. Step 5: Solve for x
    x = 1,474,466,204,176/556,146
  6. Step 6: Final answer
    x = 2,651,221.45

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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.