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Finding the Third Proportional to 1,575,657 and 3,209,022

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Solution

The third proportional to 1,575,657 and 3,209,022 is: 6,535,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,657 : 3,209,022 = 3,209,022 : x
  2. Step 2: Convert to fraction form
    1,575,657/3,209,022 = 3,209,022/x
  3. Step 3: Cross multiply
    1,575,657x = 3,209,022 × 3,209,022
  4. Step 4: Simplify right side
    1,575,657x = 10,297,822,196,484
  5. Step 5: Solve for x
    x = 10,297,822,196,484/1,575,657
  6. Step 6: Final answer
    x = 6,535,573.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.