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Finding the Third Proportional to 1,694,294 and 3,720,364

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Solution

The third proportional to 1,694,294 and 3,720,364 is: 8,169,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,294 : 3,720,364 = 3,720,364 : x
  2. Step 2: Convert to fraction form
    1,694,294/3,720,364 = 3,720,364/x
  3. Step 3: Cross multiply
    1,694,294x = 3,720,364 × 3,720,364
  4. Step 4: Simplify right side
    1,694,294x = 13,841,108,292,496
  5. Step 5: Solve for x
    x = 13,841,108,292,496/1,694,294
  6. Step 6: Final answer
    x = 8,169,248.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.