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Finding the Third Proportional to 1,585,322 and 3,473,633

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Solution

The third proportional to 1,585,322 and 3,473,633 is: 7,611,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,322 : 3,473,633 = 3,473,633 : x
  2. Step 2: Convert to fraction form
    1,585,322/3,473,633 = 3,473,633/x
  3. Step 3: Cross multiply
    1,585,322x = 3,473,633 × 3,473,633
  4. Step 4: Simplify right side
    1,585,322x = 12,066,126,218,689
  5. Step 5: Solve for x
    x = 12,066,126,218,689/1,585,322
  6. Step 6: Final answer
    x = 7,611,151.69

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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.