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Finding the Third Proportional to 1,209,196 and 2,639,427

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Solution

The third proportional to 1,209,196 and 2,639,427 is: 5,761,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,196 : 2,639,427 = 2,639,427 : x
  2. Step 2: Convert to fraction form
    1,209,196/2,639,427 = 2,639,427/x
  3. Step 3: Cross multiply
    1,209,196x = 2,639,427 × 2,639,427
  4. Step 4: Simplify right side
    1,209,196x = 6,966,574,888,329
  5. Step 5: Solve for x
    x = 6,966,574,888,329/1,209,196
  6. Step 6: Final answer
    x = 5,761,328.10

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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.