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Finding the Third Proportional to 826,628 and 1,169,998

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Solution

The third proportional to 826,628 and 1,169,998 is: 1,655,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,628 : 1,169,998 = 1,169,998 : x
  2. Step 2: Convert to fraction form
    826,628/1,169,998 = 1,169,998/x
  3. Step 3: Cross multiply
    826,628x = 1,169,998 × 1,169,998
  4. Step 4: Simplify right side
    826,628x = 1,368,895,320,004
  5. Step 5: Solve for x
    x = 1,368,895,320,004/826,628
  6. Step 6: Final answer
    x = 1,655,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.