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Finding the Third Proportional to 1,609,428 and 2,255,460

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Solution

The third proportional to 1,609,428 and 2,255,460 is: 3,160,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,428 : 2,255,460 = 2,255,460 : x
  2. Step 2: Convert to fraction form
    1,609,428/2,255,460 = 2,255,460/x
  3. Step 3: Cross multiply
    1,609,428x = 2,255,460 × 2,255,460
  4. Step 4: Simplify right side
    1,609,428x = 5,087,099,811,600
  5. Step 5: Solve for x
    x = 5,087,099,811,600/1,609,428
  6. Step 6: Final answer
    x = 3,160,812.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.