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Finding the Third Proportional to 824,263 and 1,307,674

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Solution

The third proportional to 824,263 and 1,307,674 is: 2,074,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,263 : 1,307,674 = 1,307,674 : x
  2. Step 2: Convert to fraction form
    824,263/1,307,674 = 1,307,674/x
  3. Step 3: Cross multiply
    824,263x = 1,307,674 × 1,307,674
  4. Step 4: Simplify right side
    824,263x = 1,710,011,290,276
  5. Step 5: Solve for x
    x = 1,710,011,290,276/824,263
  6. Step 6: Final answer
    x = 2,074,594.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.