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Finding the Third Proportional to 556,258 and 1,211,660

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Solution

The third proportional to 556,258 and 1,211,660 is: 2,639,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,258 : 1,211,660 = 1,211,660 : x
  2. Step 2: Convert to fraction form
    556,258/1,211,660 = 1,211,660/x
  3. Step 3: Cross multiply
    556,258x = 1,211,660 × 1,211,660
  4. Step 4: Simplify right side
    556,258x = 1,468,119,955,600
  5. Step 5: Solve for x
    x = 1,468,119,955,600/556,258
  6. Step 6: Final answer
    x = 2,639,278.82

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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.