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Finding the Third Proportional to 1,223,453 and 1,799,479

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Solution

The third proportional to 1,223,453 and 1,799,479 is: 2,646,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,453 : 1,799,479 = 1,799,479 : x
  2. Step 2: Convert to fraction form
    1,223,453/1,799,479 = 1,799,479/x
  3. Step 3: Cross multiply
    1,223,453x = 1,799,479 × 1,799,479
  4. Step 4: Simplify right side
    1,223,453x = 3,238,124,671,441
  5. Step 5: Solve for x
    x = 3,238,124,671,441/1,223,453
  6. Step 6: Final answer
    x = 2,646,709.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.