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Finding the Third Proportional to 824,858 and 1,254,567

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Solution

The third proportional to 824,858 and 1,254,567 is: 1,908,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,858 : 1,254,567 = 1,254,567 : x
  2. Step 2: Convert to fraction form
    824,858/1,254,567 = 1,254,567/x
  3. Step 3: Cross multiply
    824,858x = 1,254,567 × 1,254,567
  4. Step 4: Simplify right side
    824,858x = 1,573,938,357,489
  5. Step 5: Solve for x
    x = 1,573,938,357,489/824,858
  6. Step 6: Final answer
    x = 1,908,132.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.