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Finding the Third Proportional to 2,053,784 and 4,579,798

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Solution

The third proportional to 2,053,784 and 4,579,798 is: 10,212,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,784 : 4,579,798 = 4,579,798 : x
  2. Step 2: Convert to fraction form
    2,053,784/4,579,798 = 4,579,798/x
  3. Step 3: Cross multiply
    2,053,784x = 4,579,798 × 4,579,798
  4. Step 4: Simplify right side
    2,053,784x = 20,974,549,720,804
  5. Step 5: Solve for x
    x = 20,974,549,720,804/2,053,784
  6. Step 6: Final answer
    x = 10,212,636.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.