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Finding the Third Proportional to 552,658 and 1,210,540

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Solution

The third proportional to 552,658 and 1,210,540 is: 2,651,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,658 : 1,210,540 = 1,210,540 : x
  2. Step 2: Convert to fraction form
    552,658/1,210,540 = 1,210,540/x
  3. Step 3: Cross multiply
    552,658x = 1,210,540 × 1,210,540
  4. Step 4: Simplify right side
    552,658x = 1,465,407,091,600
  5. Step 5: Solve for x
    x = 1,465,407,091,600/552,658
  6. Step 6: Final answer
    x = 2,651,562.25

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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.