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Finding the Third Proportional to 843,281 and 1,295,384

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Solution

The third proportional to 843,281 and 1,295,384 is: 1,989,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,281 : 1,295,384 = 1,295,384 : x
  2. Step 2: Convert to fraction form
    843,281/1,295,384 = 1,295,384/x
  3. Step 3: Cross multiply
    843,281x = 1,295,384 × 1,295,384
  4. Step 4: Simplify right side
    843,281x = 1,678,019,707,456
  5. Step 5: Solve for x
    x = 1,678,019,707,456/843,281
  6. Step 6: Final answer
    x = 1,989,870.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.