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Finding the Third Proportional to 1,464,267 and 2,685,534

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Solution

The third proportional to 1,464,267 and 2,685,534 is: 4,925,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,267 : 2,685,534 = 2,685,534 : x
  2. Step 2: Convert to fraction form
    1,464,267/2,685,534 = 2,685,534/x
  3. Step 3: Cross multiply
    1,464,267x = 2,685,534 × 2,685,534
  4. Step 4: Simplify right side
    1,464,267x = 7,212,092,865,156
  5. Step 5: Solve for x
    x = 7,212,092,865,156/1,464,267
  6. Step 6: Final answer
    x = 4,925,394.66

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.