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Finding the Third Proportional to 1,646,158 and 2,533,435

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Solution

The third proportional to 1,646,158 and 2,533,435 is: 3,898,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,158 : 2,533,435 = 2,533,435 : x
  2. Step 2: Convert to fraction form
    1,646,158/2,533,435 = 2,533,435/x
  3. Step 3: Cross multiply
    1,646,158x = 2,533,435 × 2,533,435
  4. Step 4: Simplify right side
    1,646,158x = 6,418,292,899,225
  5. Step 5: Solve for x
    x = 6,418,292,899,225/1,646,158
  6. Step 6: Final answer
    x = 3,898,953.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.