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Finding the Third Proportional to 857,415 and 1,828,704

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Solution

The third proportional to 857,415 and 1,828,704 is: 3,900,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,415 : 1,828,704 = 1,828,704 : x
  2. Step 2: Convert to fraction form
    857,415/1,828,704 = 1,828,704/x
  3. Step 3: Cross multiply
    857,415x = 1,828,704 × 1,828,704
  4. Step 4: Simplify right side
    857,415x = 3,344,158,319,616
  5. Step 5: Solve for x
    x = 3,344,158,319,616/857,415
  6. Step 6: Final answer
    x = 3,900,279.70

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