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Finding the Third Proportional to 429,810 and 1,011,021

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Solution

The third proportional to 429,810 and 1,011,021 is: 2,378,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,810 : 1,011,021 = 1,011,021 : x
  2. Step 2: Convert to fraction form
    429,810/1,011,021 = 1,011,021/x
  3. Step 3: Cross multiply
    429,810x = 1,011,021 × 1,011,021
  4. Step 4: Simplify right side
    429,810x = 1,022,163,462,441
  5. Step 5: Solve for x
    x = 1,022,163,462,441/429,810
  6. Step 6: Final answer
    x = 2,378,175.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.