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Finding the Third Proportional to 1,314,584 and 2,828,428

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Solution

The third proportional to 1,314,584 and 2,828,428 is: 6,085,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,584 : 2,828,428 = 2,828,428 : x
  2. Step 2: Convert to fraction form
    1,314,584/2,828,428 = 2,828,428/x
  3. Step 3: Cross multiply
    1,314,584x = 2,828,428 × 2,828,428
  4. Step 4: Simplify right side
    1,314,584x = 8,000,004,951,184
  5. Step 5: Solve for x
    x = 8,000,004,951,184/1,314,584
  6. Step 6: Final answer
    x = 6,085,579.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.