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Finding the Third Proportional to 1,870,952 and 2,823,357

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Solution

The third proportional to 1,870,952 and 2,823,357 is: 4,260,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,952 : 2,823,357 = 2,823,357 : x
  2. Step 2: Convert to fraction form
    1,870,952/2,823,357 = 2,823,357/x
  3. Step 3: Cross multiply
    1,870,952x = 2,823,357 × 2,823,357
  4. Step 4: Simplify right side
    1,870,952x = 7,971,344,749,449
  5. Step 5: Solve for x
    x = 7,971,344,749,449/1,870,952
  6. Step 6: Final answer
    x = 4,260,582.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.