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Finding the Third Proportional to 569,964 and 1,216,206

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Solution

The third proportional to 569,964 and 1,216,206 is: 2,595,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,964 : 1,216,206 = 1,216,206 : x
  2. Step 2: Convert to fraction form
    569,964/1,216,206 = 1,216,206/x
  3. Step 3: Cross multiply
    569,964x = 1,216,206 × 1,216,206
  4. Step 4: Simplify right side
    569,964x = 1,479,157,034,436
  5. Step 5: Solve for x
    x = 1,479,157,034,436/569,964
  6. Step 6: Final answer
    x = 2,595,176.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.