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Finding the Third Proportional to 841,780 and 1,841,024

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Solution

The third proportional to 841,780 and 1,841,024 is: 4,026,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,780 : 1,841,024 = 1,841,024 : x
  2. Step 2: Convert to fraction form
    841,780/1,841,024 = 1,841,024/x
  3. Step 3: Cross multiply
    841,780x = 1,841,024 × 1,841,024
  4. Step 4: Simplify right side
    841,780x = 3,389,369,368,576
  5. Step 5: Solve for x
    x = 3,389,369,368,576/841,780
  6. Step 6: Final answer
    x = 4,026,431.33

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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.