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Finding the Third Proportional to 593,536 and 909,952

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Solution

The third proportional to 593,536 and 909,952 is: 1,395,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,536 : 909,952 = 909,952 : x
  2. Step 2: Convert to fraction form
    593,536/909,952 = 909,952/x
  3. Step 3: Cross multiply
    593,536x = 909,952 × 909,952
  4. Step 4: Simplify right side
    593,536x = 828,012,642,304
  5. Step 5: Solve for x
    x = 828,012,642,304/593,536
  6. Step 6: Final answer
    x = 1,395,050.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.