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Finding the Third Proportional to 841,784 and 1,841,029

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Solution

The third proportional to 841,784 and 1,841,029 is: 4,026,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,784 : 1,841,029 = 1,841,029 : x
  2. Step 2: Convert to fraction form
    841,784/1,841,029 = 1,841,029/x
  3. Step 3: Cross multiply
    841,784x = 1,841,029 × 1,841,029
  4. Step 4: Simplify right side
    841,784x = 3,389,387,778,841
  5. Step 5: Solve for x
    x = 3,389,387,778,841/841,784
  6. Step 6: Final answer
    x = 4,026,434.07

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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.