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Finding the Third Proportional to 673,158 and 1,458,471

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Solution

The third proportional to 673,158 and 1,458,471 is: 3,159,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,158 : 1,458,471 = 1,458,471 : x
  2. Step 2: Convert to fraction form
    673,158/1,458,471 = 1,458,471/x
  3. Step 3: Cross multiply
    673,158x = 1,458,471 × 1,458,471
  4. Step 4: Simplify right side
    673,158x = 2,127,137,657,841
  5. Step 5: Solve for x
    x = 2,127,137,657,841/673,158
  6. Step 6: Final answer
    x = 3,159,938.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.