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Finding the Third Proportional to 850,297 and 1,866,461

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Solution

The third proportional to 850,297 and 1,866,461 is: 4,097,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,297 : 1,866,461 = 1,866,461 : x
  2. Step 2: Convert to fraction form
    850,297/1,866,461 = 1,866,461/x
  3. Step 3: Cross multiply
    850,297x = 1,866,461 × 1,866,461
  4. Step 4: Simplify right side
    850,297x = 3,483,676,664,521
  5. Step 5: Solve for x
    x = 3,483,676,664,521/850,297
  6. Step 6: Final answer
    x = 4,097,011.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.