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Finding the Third Proportional to 758,394 and 1,610,100

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Solution

The third proportional to 758,394 and 1,610,100 is: 3,418,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,394 : 1,610,100 = 1,610,100 : x
  2. Step 2: Convert to fraction form
    758,394/1,610,100 = 1,610,100/x
  3. Step 3: Cross multiply
    758,394x = 1,610,100 × 1,610,100
  4. Step 4: Simplify right side
    758,394x = 2,592,422,010,000
  5. Step 5: Solve for x
    x = 2,592,422,010,000/758,394
  6. Step 6: Final answer
    x = 3,418,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.