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Finding the Third Proportional to 857,417 and 1,828,708

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Solution

The third proportional to 857,417 and 1,828,708 is: 3,900,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,417 : 1,828,708 = 1,828,708 : x
  2. Step 2: Convert to fraction form
    857,417/1,828,708 = 1,828,708/x
  3. Step 3: Cross multiply
    857,417x = 1,828,708 × 1,828,708
  4. Step 4: Simplify right side
    857,417x = 3,344,172,949,264
  5. Step 5: Solve for x
    x = 3,344,172,949,264/857,417
  6. Step 6: Final answer
    x = 3,900,287.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.