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Finding the Third Proportional to 1,575,742 and 3,457,844

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Solution

The third proportional to 1,575,742 and 3,457,844 is: 7,587,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,742 : 3,457,844 = 3,457,844 : x
  2. Step 2: Convert to fraction form
    1,575,742/3,457,844 = 3,457,844/x
  3. Step 3: Cross multiply
    1,575,742x = 3,457,844 × 3,457,844
  4. Step 4: Simplify right side
    1,575,742x = 11,956,685,128,336
  5. Step 5: Solve for x
    x = 11,956,685,128,336/1,575,742
  6. Step 6: Final answer
    x = 7,587,971.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.