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Finding the Third Proportional to 553,758 and 1,210,004

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Solution

The third proportional to 553,758 and 1,210,004 is: 2,643,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,758 : 1,210,004 = 1,210,004 : x
  2. Step 2: Convert to fraction form
    553,758/1,210,004 = 1,210,004/x
  3. Step 3: Cross multiply
    553,758x = 1,210,004 × 1,210,004
  4. Step 4: Simplify right side
    553,758x = 1,464,109,680,016
  5. Step 5: Solve for x
    x = 1,464,109,680,016/553,758
  6. Step 6: Final answer
    x = 2,643,952.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.