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Finding the Third Proportional to 1,181,913 and 1,730,946

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Solution

The third proportional to 1,181,913 and 1,730,946 is: 2,535,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,913 : 1,730,946 = 1,730,946 : x
  2. Step 2: Convert to fraction form
    1,181,913/1,730,946 = 1,730,946/x
  3. Step 3: Cross multiply
    1,181,913x = 1,730,946 × 1,730,946
  4. Step 4: Simplify right side
    1,181,913x = 2,996,174,054,916
  5. Step 5: Solve for x
    x = 2,996,174,054,916/1,181,913
  6. Step 6: Final answer
    x = 2,535,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.