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Finding the Third Proportional to 529,172 and 1,161,118

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Solution

The third proportional to 529,172 and 1,161,118 is: 2,547,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,172 : 1,161,118 = 1,161,118 : x
  2. Step 2: Convert to fraction form
    529,172/1,161,118 = 1,161,118/x
  3. Step 3: Cross multiply
    529,172x = 1,161,118 × 1,161,118
  4. Step 4: Simplify right side
    529,172x = 1,348,195,009,924
  5. Step 5: Solve for x
    x = 1,348,195,009,924/529,172
  6. Step 6: Final answer
    x = 2,547,744.42

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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.