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Finding the Third Proportional to 593,424 and 1,307,862

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Solution

The third proportional to 593,424 and 1,307,862 is: 2,882,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,424 : 1,307,862 = 1,307,862 : x
  2. Step 2: Convert to fraction form
    593,424/1,307,862 = 1,307,862/x
  3. Step 3: Cross multiply
    593,424x = 1,307,862 × 1,307,862
  4. Step 4: Simplify right side
    593,424x = 1,710,503,011,044
  5. Step 5: Solve for x
    x = 1,710,503,011,044/593,424
  6. Step 6: Final answer
    x = 2,882,429.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.