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Finding the Third Proportional to 857,178 and 1,866,740

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Solution

The third proportional to 857,178 and 1,866,740 is: 4,065,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,178 : 1,866,740 = 1,866,740 : x
  2. Step 2: Convert to fraction form
    857,178/1,866,740 = 1,866,740/x
  3. Step 3: Cross multiply
    857,178x = 1,866,740 × 1,866,740
  4. Step 4: Simplify right side
    857,178x = 3,484,718,227,600
  5. Step 5: Solve for x
    x = 3,484,718,227,600/857,178
  6. Step 6: Final answer
    x = 4,065,337.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.