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Finding the Third Proportional to 2,854,864 and 3,875,364

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Solution

The third proportional to 2,854,864 and 3,875,364 is: 5,260,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,864 : 3,875,364 = 3,875,364 : x
  2. Step 2: Convert to fraction form
    2,854,864/3,875,364 = 3,875,364/x
  3. Step 3: Cross multiply
    2,854,864x = 3,875,364 × 3,875,364
  4. Step 4: Simplify right side
    2,854,864x = 15,018,446,132,496
  5. Step 5: Solve for x
    x = 15,018,446,132,496/2,854,864
  6. Step 6: Final answer
    x = 5,260,652.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.