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Finding the Third Proportional to 469,699 and 1,028,011

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Solution

The third proportional to 469,699 and 1,028,011 is: 2,249,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,699 : 1,028,011 = 1,028,011 : x
  2. Step 2: Convert to fraction form
    469,699/1,028,011 = 1,028,011/x
  3. Step 3: Cross multiply
    469,699x = 1,028,011 × 1,028,011
  4. Step 4: Simplify right side
    469,699x = 1,056,806,616,121
  5. Step 5: Solve for x
    x = 1,056,806,616,121/469,699
  6. Step 6: Final answer
    x = 2,249,965.65

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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.