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Finding the Third Proportional to 593,136 and 1,304,352

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Solution

The third proportional to 593,136 and 1,304,352 is: 2,868,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,136 : 1,304,352 = 1,304,352 : x
  2. Step 2: Convert to fraction form
    593,136/1,304,352 = 1,304,352/x
  3. Step 3: Cross multiply
    593,136x = 1,304,352 × 1,304,352
  4. Step 4: Simplify right side
    593,136x = 1,701,334,139,904
  5. Step 5: Solve for x
    x = 1,701,334,139,904/593,136
  6. Step 6: Final answer
    x = 2,868,371.06

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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.