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Finding the Third Proportional to 712,927 and 1,484,828

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Solution

The third proportional to 712,927 and 1,484,828 is: 3,092,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,927 : 1,484,828 = 1,484,828 : x
  2. Step 2: Convert to fraction form
    712,927/1,484,828 = 1,484,828/x
  3. Step 3: Cross multiply
    712,927x = 1,484,828 × 1,484,828
  4. Step 4: Simplify right side
    712,927x = 2,204,714,189,584
  5. Step 5: Solve for x
    x = 2,204,714,189,584/712,927
  6. Step 6: Final answer
    x = 3,092,482.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.