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Finding the Third Proportional to 542,316 and 1,035,424

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Solution

The third proportional to 542,316 and 1,035,424 is: 1,976,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,316 : 1,035,424 = 1,035,424 : x
  2. Step 2: Convert to fraction form
    542,316/1,035,424 = 1,035,424/x
  3. Step 3: Cross multiply
    542,316x = 1,035,424 × 1,035,424
  4. Step 4: Simplify right side
    542,316x = 1,072,102,859,776
  5. Step 5: Solve for x
    x = 1,072,102,859,776/542,316
  6. Step 6: Final answer
    x = 1,976,896.97

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.