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Finding the Third Proportional to 791,575 and 1,866,758

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Solution

The third proportional to 791,575 and 1,866,758 is: 4,402,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,575 : 1,866,758 = 1,866,758 : x
  2. Step 2: Convert to fraction form
    791,575/1,866,758 = 1,866,758/x
  3. Step 3: Cross multiply
    791,575x = 1,866,758 × 1,866,758
  4. Step 4: Simplify right side
    791,575x = 3,484,785,430,564
  5. Step 5: Solve for x
    x = 3,484,785,430,564/791,575
  6. Step 6: Final answer
    x = 4,402,343.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.