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Finding the Third Proportional to 822,306 and 1,265,559

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Solution

The third proportional to 822,306 and 1,265,559 is: 1,947,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,306 : 1,265,559 = 1,265,559 : x
  2. Step 2: Convert to fraction form
    822,306/1,265,559 = 1,265,559/x
  3. Step 3: Cross multiply
    822,306x = 1,265,559 × 1,265,559
  4. Step 4: Simplify right side
    822,306x = 1,601,639,582,481
  5. Step 5: Solve for x
    x = 1,601,639,582,481/822,306
  6. Step 6: Final answer
    x = 1,947,741.57

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Why These Related Problems?

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