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Finding the Third Proportional to 1,106,280 and 2,412,784

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Solution

The third proportional to 1,106,280 and 2,412,784 is: 5,262,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,280 : 2,412,784 = 2,412,784 : x
  2. Step 2: Convert to fraction form
    1,106,280/2,412,784 = 2,412,784/x
  3. Step 3: Cross multiply
    1,106,280x = 2,412,784 × 2,412,784
  4. Step 4: Simplify right side
    1,106,280x = 5,821,526,630,656
  5. Step 5: Solve for x
    x = 5,821,526,630,656/1,106,280
  6. Step 6: Final answer
    x = 5,262,254.25

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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.